2(2x^2-4)+3=0

Solution for 2(2x^2-4)+3=0 equation:

Simplifying
2(2x2 + -4) + 3 = 0

Reorder the terms:
2(-4 + 2x2) + 3 = 0
(-4 * 2 + 2x2 * 2) + 3 = 0
(-8 + 4x2) + 3 = 0

Reorder the terms:
-8 + 3 + 4x2 = 0

Combine like terms: -8 + 3 = -5
-5 + 4x2 = 0

Solving
-5 + 4x2 = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 4x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4x2 = 0 + 5
4x2 = 0 + 5

Combine like terms: 0 + 5 = 5
4x2 = 5

Divide each side by '4'.
x2 = 1.25

Simplifying
x2 = 1.25

Take the square root of each side:
x = {-1.118033989, 1.118033989}