Solve x+89*10^9/(365*75)^2=3354*10^15

$$\frac { x + 89 \times 10 ^ { 9 } } { ( 365 \times 75 ) ^ { 2 } } = 3354 \times 10 ^ { 15 }$$

Solve for x

$$x=2513456156249999911000000000$$

Steps for Solving Linear Equation

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{x+89\times 1000000000}{\left(365\times 75\right)^{2}}=3354\times 10^{15}$$

Multiply 89 and 1000000000 to get 89000000000.

$$\frac{x+89000000000}{\left(365\times 75\right)^{2}}=3354\times 10^{15}$$

Multiply 365 and 75 to get 27375.

$$\frac{x+89000000000}{27375^{2}}=3354\times 10^{15}$$

Calculate 27375 to the power of 2 and get 749390625.

$$\frac{x+89000000000}{749390625}=3354\times 10^{15}$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{x+89000000000}{749390625}=3354\times 1000000000000000$$

Multiply 3354 and 1000000000000000 to get 3354000000000000000.

$$\frac{x+89000000000}{749390625}=3354000000000000000$$

Divide each term of x+89000000000 by 749390625 to get \frac{1}{749390625}x+\frac{5696000}{47961}.

$$\frac{1}{749390625}x+\frac{5696000}{47961}=3354000000000000000$$

Subtract \frac{5696000}{47961} from both sides.

$$\frac{1}{749390625}x=3354000000000000000-\frac{5696000}{47961}$$

Subtract \frac{5696000}{47961} from 3354000000000000000 to get \frac{160861193999999994304000}{47961}.

$$\frac{1}{749390625}x=\frac{160861193999999994304000}{47961}$$

Multiply both sides by 749390625, the reciprocal of \frac{1}{749390625}.

$$x=\frac{160861193999999994304000}{47961}\times 749390625$$

Multiply \frac{160861193999999994304000}{47961} and 749390625 to get 2513456156249999911000000000.

$$x=2513456156249999911000000000$$