Solve -681000=left(2248-3441right)40000+x*3600-05*40000*(140^2-70^2)

$$-681000 = \left( 2248-3441 \right) 40000+x \times 3600-05 \times 40000 \times ( { 140 }^{ 2 } - { 70 }^{ 2 } )$$

Solve for x

$$x = \frac{235195}{18} = 13066\frac{7}{18} \approx 13066.388888889$$

Steps for Solving Linear Equation

Subtract 3441 from 2248 to get -1193.

$$-681000=-1193\times 40000+x\times 3600-0\times 5\times 40000\left(140^{2}-70^{2}\right)$$

Multiply -1193 and 40000 to get -47720000.

$$-681000=-47720000+x\times 3600-0\times 5\times 40000\left(140^{2}-70^{2}\right)$$

Multiply 0 and 5 to get 0.

$$-681000=-47720000+x\times 3600-0\times 40000\left(140^{2}-70^{2}\right)$$

Multiply 0 and 40000 to get 0.

$$-681000=-47720000+x\times 3600-0\left(140^{2}-70^{2}\right)$$

Calculate 140 to the power of 2 and get 19600.

$$-681000=-47720000+x\times 3600-0\left(19600-70^{2}\right)$$

Calculate 70 to the power of 2 and get 4900.

$$-681000=-47720000+x\times 3600-0\left(19600-4900\right)$$

Subtract 4900 from 19600 to get 14700.

$$-681000=-47720000+x\times 3600-0\times 14700$$

Multiply 0 and 14700 to get 0.

$$-681000=-47720000+x\times 3600-0$$

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

$$-47720000+x\times 3600-0=-681000$$

Add 0 to both sides.

$$-47720000+x\times 3600=-681000+0$$

Add -681000 and 0 to get -681000.

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

Add 47720000 to both sides.

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

Add -681000 and 47720000 to get 47039000.

$$x\times 3600=47039000$$

Divide both sides by 3600.

$$x=\frac{47039000}{3600}$$

Reduce the fraction \frac{47039000}{3600} to lowest terms by extracting and canceling out 200.

$$x=\frac{235195}{18}$$