3(x^2+4)-36=0

Solution for 3(x^2+4)-36=0 equation:

Simplifying
3(x2 + 4) + -36 = 0

Reorder the terms:
3(4 + x2) + -36 = 0
(4 * 3 + x2 * 3) + -36 = 0
(12 + 3x2) + -36 = 0

Reorder the terms:
12 + -36 + 3x2 = 0

Combine like terms: 12 + -36 = -24
-24 + 3x2 = 0

Solving
-24 + 3x2 = 0

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 3x2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 3x2 = 0 + 24
3x2 = 0 + 24

Combine like terms: 0 + 24 = 24
3x2 = 24

Divide each side by '3'.
x2 = 8

Simplifying
x2 = 8

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