4(x^2-5)=12

Solution for 4(x^2-5)=12 equation:

Simplifying
4(x2 + -5) = 12

Reorder the terms:
4(-5 + x2) = 12
(-5 * 4 + x2 * 4) = 12
(-20 + 4x2) = 12

Solving
-20 + 4x2 = 12

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 4x2 = 12 + 20

Combine like terms: -20 + 20 = 0
0 + 4x2 = 12 + 20
4x2 = 12 + 20

Combine like terms: 12 + 20 = 32
4x2 = 32

Divide each side by '4'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}