Solve -681000=left(2248-3441right)40000+x*3600-0.5*40000*(140^2-70^2)

$$-681000 = \left( 2248-3441 \right) 40000+x \times 3600-0.5 \times 40000 \times ( { 140 }^{ 2 } - { 70 }^{ 2 } )$$

Solve for x

$$x = \frac{1705195}{18} = 94733\frac{1}{18} \approx 94733.055555556$$

Steps for Solving Linear Equation

Subtract 3441 from 2248 to get -1193.

$$-681000=-1193\times 40000+x\times 3600-0.5\times 40000\left(140^{2}-70^{2}\right)$$

Multiply -1193 and 40000 to get -47720000.

$$-681000=-47720000+x\times 3600-0.5\times 40000\left(140^{2}-70^{2}\right)$$

Multiply 0.5 and 40000 to get 20000.

$$-681000=-47720000+x\times 3600-20000\left(140^{2}-70^{2}\right)$$

Calculate 140 to the power of 2 and get 19600.

$$-681000=-47720000+x\times 3600-20000\left(19600-70^{2}\right)$$

Calculate 70 to the power of 2 and get 4900.

$$-681000=-47720000+x\times 3600-20000\left(19600-4900\right)$$

Subtract 4900 from 19600 to get 14700.

$$-681000=-47720000+x\times 3600-20000\times 14700$$

Multiply 20000 and 14700 to get 294000000.

$$-681000=-47720000+x\times 3600-294000000$$

Subtract 294000000 from -47720000 to get -341720000.

$$-681000=-341720000+x\times 3600$$

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

$$-341720000+x\times 3600=-681000$$

Add 341720000 to both sides.

$$x\times 3600=-681000+341720000$$

Add -681000 and 341720000 to get 341039000.

$$x\times 3600=341039000$$

Divide both sides by 3600.

$$x=\frac{341039000}{3600}$$

Reduce the fraction \frac{341039000}{3600} to lowest terms by extracting and canceling out 200.

$$x=\frac{1705195}{18}$$