25r^2-50=150

Solution for 25r^2-50=150 equation:

Simplifying
25r2 + -50 = 150

Reorder the terms:
-50 + 25r2 = 150

Solving
-50 + 25r2 = 150

Solving for variable 'r'.

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

Add '50' to each side of the equation.
-50 + 50 + 25r2 = 150 + 50

Combine like terms: -50 + 50 = 0
0 + 25r2 = 150 + 50
25r2 = 150 + 50

Combine like terms: 150 + 50 = 200
25r2 = 200

Divide each side by '25'.
r2 = 8

Simplifying
r2 = 8

Take the square root of each side:
r = {-2.828427125, 2.828427125}