6x^2-75=0

Solution for 6x^2-75=0 equation:

Simplifying
6x2 + -75 = 0

Reorder the terms:
-75 + 6x2 = 0

Solving
-75 + 6x2 = 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 + 6x2 = 0 + 75

Combine like terms: -75 + 75 = 0
0 + 6x2 = 0 + 75
6x2 = 0 + 75

Combine like terms: 0 + 75 = 75
6x2 = 75

Divide each side by '6'.
x2 = 12.5

Simplifying
x2 = 12.5

Take the square root of each side:
x = {-3.535533906, 3.535533906}