I have an answer and an explanation!
ANSWER:[tex]X=\frac{1}{2} (or) x= \frac{-3}{2} [/tex]
Explanation:
{Let's solve your equation step-by-step.}
[tex]4 x^{2} +4x-3=0[/tex]
{Step 1: Factor left side of equation.}
[tex](2x-1)(2x+3)=0[/tex]
{Step 2: Set factors equal to 0.}
[tex]2x-1=0 (or) 2x+3=0[/tex]
