Solve (4x+2)(x-5)=4x^2-3x

$$( 4 x + 2 ) ( x - 5 ) = 4 x ^ { 2 } - 3 x$$

Solve for x

$$x=-\frac{2}{3}\approx -0.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4x+2 by x-5 and combine like terms.

$$4x^{2}-18x-10=4x^{2}-3x$$

Subtract 4x^{2} from both sides.

$$4x^{2}-18x-10-4x^{2}=-3x$$

Combine 4x^{2} and -4x^{2} to get 0.

$$-18x-10=-3x$$

Add 3x to both sides.

$$-18x-10+3x=0$$

Combine -18x and 3x to get -15x.

$$-15x-10=0$$

Add 10 to both sides. Anything plus zero gives itself.

$$-15x=10$$

Divide both sides by -15.

$$x=\frac{10}{-15}$$

Reduce the fraction \frac{10}{-15} to lowest terms by extracting and canceling out 5.

$$x=-\frac{2}{3}$$