Solve BE=(15.8)(98)-(17.8)(98)^2/3-(0.71)43(43-1)/98^1/3-(23.7)(55-43)^2/98

$$B E = ( 15.8 ) ( 98 ) - ( 17.8 ) ( 98 ) ^ { 2 / 3 } - ( 0.71 ) \frac { 43 ( 43 - 1 ) } { 98 ^ { 1 / 3 } } - ( 23.7 ) \frac { ( 55 - 43 ) ^ { 2 } } { 98 }$$

Solve for B

$$B=\frac{7416520-151333\times 98^{\frac{2}{3}}}{4900E}$$

$$E\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 98.

$$98BE=98\left(15.8\times 98-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{43\left(43-1\right)}{98^{\frac{1}{3}}}\right)-23.7\left(55-43\right)^{2}$$

Multiply 15.8 and 98 to get 1548.4.

$$98BE=98\left(1548.4-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{43\left(43-1\right)}{98^{\frac{1}{3}}}\right)-23.7\left(55-43\right)^{2}$$

Subtract 1 from 43 to get 42.

$$98BE=98\left(1548.4-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{43\times 42}{98^{\frac{1}{3}}}\right)-23.7\left(55-43\right)^{2}$$

Multiply 43 and 42 to get 1806.

$$98BE=98\left(1548.4-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{1806}{98^{\frac{1}{3}}}\right)-23.7\left(55-43\right)^{2}$$

Subtract 43 from 55 to get 12.

$$98BE=98\left(1548.4-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{1806}{98^{\frac{1}{3}}}\right)-23.7\times 12^{2}$$

Calculate 12 to the power of 2 and get 144.

$$98BE=98\left(1548.4-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{1806}{98^{\frac{1}{3}}}\right)-23.7\times 144$$

Multiply 23.7 and 144 to get 3412.8.

$$98BE=98\left(1548.4-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{1806}{98^{\frac{1}{3}}}\right)-3412.8$$

Reorder the terms.

$$98BE=98\left(1548.4-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{1806}{\sqrt[3]{98}}\right)-3412.8$$

Use the distributive property to multiply 98 by 1548.4-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{1806}{\sqrt[3]{98}}.

$$98BE=151743.2-1744.4\times 98^{\frac{2}{3}}-69.58\times \frac{1806}{\sqrt[3]{98}}-3412.8$$

Subtract 3412.8 from 151743.2 to get 148330.4.

$$98BE=148330.4-1744.4\times 98^{\frac{2}{3}}-69.58\times \frac{1806}{\sqrt[3]{98}}$$

The equation is in standard form.

$$98EB=-\frac{3141537}{25\sqrt[3]{98}}-\frac{8722\times 98^{\frac{2}{3}}}{5}+148330.4$$

Divide both sides by 98E.

$$\frac{98EB}{98E}=\frac{-\frac{7415317}{25\sqrt[3]{98}}+148330.4}{98E}$$

Dividing by 98E undoes the multiplication by 98E.

$$B=\frac{-\frac{7415317}{25\sqrt[3]{98}}+148330.4}{98E}$$

Divide -\frac{7415317}{25\sqrt[3]{98}}+148330.4 by 98E.

$$B=\frac{-\frac{151333}{50\sqrt[3]{98}}+\frac{370826}{245}}{E}$$

Solve for E

$$E=\frac{7416520-151333\times 98^{\frac{2}{3}}}{4900B}$$

$$B\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 98.

$$98BE=98\left(15.8\times 98-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{43\left(43-1\right)}{98^{\frac{1}{3}}}\right)-23.7\left(55-43\right)^{2}$$

Multiply 15.8 and 98 to get 1548.4.

$$98BE=98\left(1548.4-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{43\left(43-1\right)}{98^{\frac{1}{3}}}\right)-23.7\left(55-43\right)^{2}$$

Subtract 1 from 43 to get 42.

$$98BE=98\left(1548.4-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{43\times 42}{98^{\frac{1}{3}}}\right)-23.7\left(55-43\right)^{2}$$

Multiply 43 and 42 to get 1806.

$$98BE=98\left(1548.4-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{1806}{98^{\frac{1}{3}}}\right)-23.7\left(55-43\right)^{2}$$

Subtract 43 from 55 to get 12.

$$98BE=98\left(1548.4-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{1806}{98^{\frac{1}{3}}}\right)-23.7\times 12^{2}$$

Calculate 12 to the power of 2 and get 144.

$$98BE=98\left(1548.4-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{1806}{98^{\frac{1}{3}}}\right)-23.7\times 144$$

Multiply 23.7 and 144 to get 3412.8.

$$98BE=98\left(1548.4-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{1806}{98^{\frac{1}{3}}}\right)-3412.8$$

Reorder the terms.

$$98BE=98\left(1548.4-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{1806}{\sqrt[3]{98}}\right)-3412.8$$

Use the distributive property to multiply 98 by 1548.4-17.8\times 98^{\frac{2}{3}}-0.71\times \frac{1806}{\sqrt[3]{98}}.

$$98BE=151743.2-1744.4\times 98^{\frac{2}{3}}-69.58\times \frac{1806}{\sqrt[3]{98}}-3412.8$$

Subtract 3412.8 from 151743.2 to get 148330.4.

$$98BE=148330.4-1744.4\times 98^{\frac{2}{3}}-69.58\times \frac{1806}{\sqrt[3]{98}}$$

The equation is in standard form.

$$98BE=-\frac{3141537}{25\sqrt[3]{98}}-\frac{8722\times 98^{\frac{2}{3}}}{5}+148330.4$$

Divide both sides by 98B.

$$\frac{98BE}{98B}=\frac{-\frac{7415317}{25\sqrt[3]{98}}+148330.4}{98B}$$

Dividing by 98B undoes the multiplication by 98B.

$$E=\frac{-\frac{7415317}{25\sqrt[3]{98}}+148330.4}{98B}$$

Divide -\frac{7415317}{25\sqrt[3]{98}}+148330.4 by 98B.

$$E=\frac{-\frac{151333}{50\sqrt[3]{98}}+\frac{370826}{245}}{B}$$