2x^2-75=0

Solution for 2x^2-75=0 equation:

Simplifying
2x2 + -75 = 0

Reorder the terms:
-75 + 2x2 = 0

Solving
-75 + 2x2 = 0

Solving for variable 'x'.

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

Add '75' to each side of the equation.
-75 + 75 + 2x2 = 0 + 75

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

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

Divide each side by '2'.
x2 = 37.5

Simplifying
x2 = 37.5

Take the square root of each side:
x = {-6.123724357, 6.123724357}