6r^2-150=0

Solution for 6r^2-150=0 equation:

Simplifying
6r2 + -150 = 0

Reorder the terms:
-150 + 6r2 = 0

Solving
-150 + 6r2 = 0

Solving for variable 'r'.

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

Add '150' to each side of the equation.
-150 + 150 + 6r2 = 0 + 150

Combine like terms: -150 + 150 = 0
0 + 6r2 = 0 + 150
6r2 = 0 + 150

Combine like terms: 0 + 150 = 150
6r2 = 150

Divide each side by '6'.
r2 = 25

Simplifying
r2 = 25

Take the square root of each side:
r = {-5, 5}