Solve (2x+9)(4x-3)=8x^2-12

$$( 2 x + 9 ) ( 4 x - 3 ) = 8 x ^ { 2 } - 12$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2x+9 by 4x-3 and combine like terms.

$$8x^{2}+30x-27=8x^{2}-12$$

Subtract 8x^{2} from both sides.

$$8x^{2}+30x-27-8x^{2}=-12$$

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

$$30x-27=-12$$

Add 27 to both sides.

$$30x=-12+27$$

Add -12 and 27 to get 15.

$$30x=15$$

Divide both sides by 30.

$$x=\frac{15}{30}$$

Reduce the fraction \frac{15}{30} to lowest terms by extracting and canceling out 15.

$$x=\frac{1}{2}$$