3x^2-6=75

Solution for 3x^2-6=75 equation:

Simplifying
3x2 + -6 = 75

Reorder the terms:
-6 + 3x2 = 75

Solving
-6 + 3x2 = 75

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 3x2 = 75 + 6

Combine like terms: -6 + 6 = 0
0 + 3x2 = 75 + 6
3x2 = 75 + 6

Combine like terms: 75 + 6 = 81
3x2 = 81

Divide each side by '3'.
x2 = 27

Simplifying
x2 = 27

Take the square root of each side:
x = {-5.196152423, 5.196152423}