3(x^2-5)=33

Solution for 3(x^2-5)=33 equation:

Simplifying
3(x2 + -5) = 33

Reorder the terms:
3(-5 + x2) = 33
(-5 * 3 + x2 * 3) = 33
(-15 + 3x2) = 33

Solving
-15 + 3x2 = 33

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 3x2 = 33 + 15

Combine like terms: -15 + 15 = 0
0 + 3x2 = 33 + 15
3x2 = 33 + 15

Combine like terms: 33 + 15 = 48
3x2 = 48

Divide each side by '3'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}