3(x^2-3)+2=20

Solution for 3(x^2-3)+2=20 equation:

Simplifying
3(x2 + -3) + 2 = 20

Reorder the terms:
3(-3 + x2) + 2 = 20
(-3 * 3 + x2 * 3) + 2 = 20
(-9 + 3x2) + 2 = 20

Reorder the terms:
-9 + 2 + 3x2 = 20

Combine like terms: -9 + 2 = -7
-7 + 3x2 = 20

Solving
-7 + 3x2 = 20

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 = 20 + 7

Combine like terms: -7 + 7 = 0
0 + 3x2 = 20 + 7
3x2 = 20 + 7

Combine like terms: 20 + 7 = 27
3x2 = 27

Divide each side by '3'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}