Solve 0-4x(25-2x)=8x^2+x-300

$$0 - 4 x ( 25 - 2 x ) = 8 x ^ { 2 } + x - 300$$

Solve for x

$$x = \frac{300}{101} = 2\frac{98}{101} \approx 2.97029703$$

Steps for Solving Linear Equation

Subtract 8x^{2} from both sides.

$$0-4x\left(25-2x\right)-8x^{2}=x-300$$

Subtract x from both sides.

$$0-4x\left(25-2x\right)-8x^{2}-x=-300$$

Reorder the terms.

$$-4x\left(-2x+25\right)-8x^{2}-x=-300$$

Use the distributive property to multiply -4x by -2x+25.

$$8x^{2}-100x-8x^{2}-x=-300$$

Combine 8x^{2} and -8x^{2} to get 0.

$$-100x-x=-300$$

Combine -100x and -x to get -101x.

$$-101x=-300$$

Divide both sides by -101.

$$x=\frac{-300}{-101}$$

Fraction \frac{-300}{-101} can be simplified to \frac{300}{101} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{300}{101}$$