7r^2+6r=0

Solution for 7r^2+6r=0 equation:

Simplifying
7r2 + 6r = 0

Reorder the terms:
6r + 7r2 = 0

Solving
6r + 7r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(6 + 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 '(6 + 7r)' equal to zero and attempt to solve:

Simplifying
6 + 7r = 0

Solving
6 + 7r = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7r = 0 + -6
7r = 0 + -6

Combine like terms: 0 + -6 = -6
7r = -6

Divide each side by '7'.
r = -0.8571428571

Simplifying
r = -0.8571428571
Solution
r = {0, -0.8571428571}