2x^2-15=75

Solution for 2x^2-15=75 equation:

Simplifying
2x2 + -15 = 75

Reorder the terms:
-15 + 2x2 = 75

Solving
-15 + 2x2 = 75

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 2x2 = 75 + 15

Combine like terms: -15 + 15 = 0
0 + 2x2 = 75 + 15
2x2 = 75 + 15

Combine like terms: 75 + 15 = 90
2x2 = 90

Divide each side by '2'.
x2 = 45

Simplifying
x2 = 45

Take the square root of each side:
x = {-6.708203933, 6.708203933}