3a^2=-4a

Solution for 3a^2=-4a equation:

Simplifying
3a2 = -4a

Solving
3a2 = -4a

Solving for variable 'a'.

Reorder the terms:
4a + 3a2 = -4a + 4a

Combine like terms: -4a + 4a = 0
4a + 3a2 = 0

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

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(4 + 3a)' equal to zero and attempt to solve:

Simplifying
4 + 3a = 0

Solving
4 + 3a = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3a = 0 + -4
3a = 0 + -4

Combine like terms: 0 + -4 = -4
3a = -4

Divide each side by '3'.
a = -1.333333333

Simplifying
a = -1.333333333
Solution
a = {0, -1.333333333}