2x^2-53=75

Solution for 2x^2-53=75 equation:

Simplifying
2x2 + -53 = 75

Reorder the terms:
-53 + 2x2 = 75

Solving
-53 + 2x2 = 75

Solving for variable 'x'.

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

Add '53' to each side of the equation.
-53 + 53 + 2x2 = 75 + 53

Combine like terms: -53 + 53 = 0
0 + 2x2 = 75 + 53
2x2 = 75 + 53

Combine like terms: 75 + 53 = 128
2x2 = 128

Divide each side by '2'.
x2 = 64

Simplifying
x2 = 64

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