8r^2=-12r

Solution for 8r^2=-12r equation:

Simplifying
8r2 = -12r

Solving
8r2 = -12r

Solving for variable 'r'.

Reorder the terms:
12r + 8r2 = -12r + 12r

Combine like terms: -12r + 12r = 0
12r + 8r2 = 0

Factor out the Greatest Common Factor (GCF), '4r'.
4r(3 + 2r) = 0

Ignore the factor 4.
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 '(3 + 2r)' equal to zero and attempt to solve:

Simplifying
3 + 2r = 0

Solving
3 + 2r = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2r = 0 + -3
2r = 0 + -3

Combine like terms: 0 + -3 = -3
2r = -3

Divide each side by '2'.
r = -1.5

Simplifying
r = -1.5
Solution
r = {0, -1.5}