2x^2-50=78

Solution for 2x^2-50=78 equation:

Simplifying
2x2 + -50 = 78

Reorder the terms:
-50 + 2x2 = 78

Solving
-50 + 2x2 = 78

Solving for variable 'x'.

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

Add '50' to each side of the equation.
-50 + 50 + 2x2 = 78 + 50

Combine like terms: -50 + 50 = 0
0 + 2x2 = 78 + 50
2x2 = 78 + 50

Combine like terms: 78 + 50 = 128
2x2 = 128

Divide each side by '2'.
x2 = 64

Simplifying
x2 = 64

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