7r^2=-3r

Solution for 7r^2=-3r equation:

Simplifying
7r2 = -3r

Solving
7r2 = -3r

Solving for variable 'r'.

Reorder the terms:
3r + 7r2 = -3r + 3r

Combine like terms: -3r + 3r = 0
3r + 7r2 = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(3 + 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 '(3 + 7r)' equal to zero and attempt to solve:

Simplifying
3 + 7r = 0

Solving
3 + 7r = 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 + 7r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7r = 0 + -3
7r = 0 + -3

Combine like terms: 0 + -3 = -3
7r = -3

Divide each side by '7'.
r = -0.4285714286

Simplifying
r = -0.4285714286
Solution
r = {0, -0.4285714286}