Solve 4x^2-2x=(2x+1)(2x-3)

$$4 { x }^{ 2 } -2x=(2x+1)(2x-3)$$

Solve for x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2x+1 by 2x-3 and combine like terms.

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

Subtract 4x^{2} from both sides.

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

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

$$-2x=-4x-3$$

Add 4x to both sides.

$$-2x+4x=-3$$

Combine -2x and 4x to get 2x.

$$2x=-3$$

Divide both sides by 2.

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

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

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