3x^2-78=114

Solution for 3x^2-78=114 equation:

Simplifying
3x2 + -78 = 114

Reorder the terms:
-78 + 3x2 = 114

Solving
-78 + 3x2 = 114

Solving for variable 'x'.

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

Add '78' to each side of the equation.
-78 + 78 + 3x2 = 114 + 78

Combine like terms: -78 + 78 = 0
0 + 3x2 = 114 + 78
3x2 = 114 + 78

Combine like terms: 114 + 78 = 192
3x2 = 192

Divide each side by '3'.
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}