4*(x*x)-8=56

Solution for 4*(x*x)-8=56 equation:

Simplifying
4(x * x) + -8 = 56

Multiply x * x
4(x2) + -8 = 56

Reorder the terms:
-8 + 4x2 = 56

Solving
-8 + 4x2 = 56

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + 4x2 = 56 + 8

Combine like terms: -8 + 8 = 0
0 + 4x2 = 56 + 8
4x2 = 56 + 8

Combine like terms: 56 + 8 = 64
4x2 = 64

Divide each side by '4'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}