5r^2-35=0

Solution for 5r^2-35=0 equation:

Simplifying
5r2 + -35 = 0

Reorder the terms:
-35 + 5r2 = 0

Solving
-35 + 5r2 = 0

Solving for variable 'r'.

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

Add '35' to each side of the equation.
-35 + 35 + 5r2 = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 5r2 = 0 + 35
5r2 = 0 + 35

Combine like terms: 0 + 35 = 35
5r2 = 35

Divide each side by '5'.
r2 = 7

Simplifying
r2 = 7

Take the square root of each side:
r = {-2.645751311, 2.645751311}