3(x^2-4)+5=0

Solution for 3(x^2-4)+5=0 equation:

Simplifying
3(x2 + -4) + 5 = 0

Reorder the terms:
3(-4 + x2) + 5 = 0
(-4 * 3 + x2 * 3) + 5 = 0
(-12 + 3x2) + 5 = 0

Reorder the terms:
-12 + 5 + 3x2 = 0

Combine like terms: -12 + 5 = -7
-7 + 3x2 = 0

Solving
-7 + 3x2 = 0

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 3x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3x2 = 0 + 7
3x2 = 0 + 7

Combine like terms: 0 + 7 = 7
3x2 = 7

Divide each side by '3'.
x2 = 2.333333333

Simplifying
x2 = 2.333333333

Take the square root of each side:
x = {-1.527525232, 1.527525232}