14g^2=-21g

Solution for 14g^2=-21g equation:

Simplifying
14g2 = -21g

Solving
14g2 = -21g

Solving for variable 'g'.

Reorder the terms:
21g + 14g2 = -21g + 21g

Combine like terms: -21g + 21g = 0
21g + 14g2 = 0

Factor out the Greatest Common Factor (GCF), '7g'.
7g(3 + 2g) = 0

Ignore the factor 7.
Subproblem 1
Set the factor 'g' equal to zero and attempt to solve:

Simplifying
g = 0

Solving
g = 0

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

Simplifying
g = 0
Subproblem 2
Set the factor '(3 + 2g)' equal to zero and attempt to solve:

Simplifying
3 + 2g = 0

Solving
3 + 2g = 0

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

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

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

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

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

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