7r^2=5r

Solution for 7r^2=5r equation:

Simplifying
7r2 = 5r

Solving
7r2 = 5r

Solving for variable 'r'.

Reorder the terms:
-5r + 7r2 = 5r + -5r

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

Factor out the Greatest Common Factor (GCF), 'r'.
r(-5 + 7r) = 0

Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(-5 + 7r)' equal to zero and attempt to solve:

Simplifying
-5 + 7r = 0

Solving
-5 + 7r = 0

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

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

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

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

Divide each side by '7'.
r = 0.7142857143

Simplifying
r = 0.7142857143
Solution
r = {0, 0.7142857143}