7r^2-5=0

Solution for 7r^2-5=0 equation:

Simplifying
7r2 + -5 = 0

Reorder the terms:
-5 + 7r2 = 0

Solving
-5 + 7r2 = 0

Solving for variable 'r'.

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

Add '5' to each side of the equation.
-5 + 5 + 7r2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 7r2 = 0 + 5
7r2 = 0 + 5

Combine like terms: 0 + 5 = 5
7r2 = 5

Divide each side by '7'.
r2 = 0.7142857143

Simplifying
r2 = 0.7142857143

Take the square root of each side:
r = {-0.845154255, 0.845154255}