This equation cannot be solved by factor method. So use the formula:
-b±√b²-4ac/2a
Here, a = 4, b=4, c = -7
On substitution in the formula,
Roots are[x=]: -1±√8/2
the equation is a quadratic equation. There are 3 ways to solve a quadratic eq.: completing the square, factoring and the easiest and fastest way, quadratic formula. Assume we chose quadratic formula in this eq. but first we cannot use quadratic formula if it isn't arrange in the standard form: ax^2 + bx + c = 0. so, the first thing you do is to change it to the standard form. 4x^2 +4x - 7 = 0. then use QF. I hope you haven't forgot your QF.
in the end, you'll have
x = 0.91, x =-1.91
the answer is in a radical form. i use a calculator so now it's in decimal form
hope a gave you the right answer and that this would help.