Solve J=left(sqrt[3]{26000/18000}-1/1right)x1

$$J = \left( \sqrt[ 3 ]{ \frac{ 26000 }{ 18000 } } - \frac{ 1 }{ 1 } \right) x1$$

Solve for x_1

$$x_{1}=\frac{\left(\sqrt[3]{13}\times 3^{\frac{4}{3}}+39^{\frac{2}{3}}+9\right)J}{4}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{26000}{18000} to lowest terms by extracting and canceling out 2000.

$$J=\left(\sqrt[3]{\frac{13}{9}}-\frac{1}{1}\right)x_{1}$$

Anything divided by one gives itself.

$$J=\left(\sqrt[3]{\frac{13}{9}}-1\right)x_{1}$$

Use the distributive property to multiply \sqrt[3]{\frac{13}{9}}-1 by x_{1}.

$$J=\sqrt[3]{\frac{13}{9}}x_{1}-x_{1}$$

Swap sides so that all variable terms are on the left hand side.

$$\sqrt[3]{\frac{13}{9}}x_{1}-x_{1}=J$$

Combine all terms containing x_{1}.

$$\left(\sqrt[3]{\frac{13}{9}}-1\right)x_{1}=J$$

Divide both sides by \sqrt[3]{\frac{13}{9}}-1.

$$\frac{\left(\sqrt[3]{\frac{13}{9}}-1\right)x_{1}}{\sqrt[3]{\frac{13}{9}}-1}=\frac{J}{\sqrt[3]{\frac{13}{9}}-1}$$

Dividing by \sqrt[3]{\frac{13}{9}}-1 undoes the multiplication by \sqrt[3]{\frac{13}{9}}-1.

$$x_{1}=\frac{J}{\sqrt[3]{\frac{13}{9}}-1}$$

Divide J by \sqrt[3]{\frac{13}{9}}-1.

$$x_{1}=\frac{J}{\frac{\sqrt[3]{13}\times 9^{\frac{2}{3}}}{9}-1}$$

Solve for J

$$J=\frac{\left(\sqrt[3]{39}-3\right)x_{1}}{3}$$