3(x^2+2)-8=73

Solution for 3(x^2+2)-8=73 equation:

Simplifying
3(x2 + 2) + -8 = 73

Reorder the terms:
3(2 + x2) + -8 = 73
(2 * 3 + x2 * 3) + -8 = 73
(6 + 3x2) + -8 = 73

Reorder the terms:
6 + -8 + 3x2 = 73

Combine like terms: 6 + -8 = -2
-2 + 3x2 = 73

Solving
-2 + 3x2 = 73

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 3x2 = 73 + 2

Combine like terms: -2 + 2 = 0
0 + 3x2 = 73 + 2
3x2 = 73 + 2

Combine like terms: 73 + 2 = 75
3x2 = 75

Divide each side by '3'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}