3x^2-78=144

Solution for 3x^2-78=144 equation:

Simplifying
3x2 + -78 = 144

Reorder the terms:
-78 + 3x2 = 144

Solving
-78 + 3x2 = 144

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 = 144 + 78

Combine like terms: -78 + 78 = 0
0 + 3x2 = 144 + 78
3x2 = 144 + 78

Combine like terms: 144 + 78 = 222
3x2 = 222

Divide each side by '3'.
x2 = 74

Simplifying
x2 = 74

Take the square root of each side:
x = {-8.602325267, 8.602325267}