2a^2=-6a

Solution for 2a^2=-6a equation:

Simplifying
2a2 = -6a

Solving
2a2 = -6a

Solving for variable 'a'.

Reorder the terms:
6a + 2a2 = -6a + 6a

Combine like terms: -6a + 6a = 0
6a + 2a2 = 0

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

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

Simplifying
3 + a = 0

Solving
3 + a = 0

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

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

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

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

Simplifying
a = -3
Solution
a = {0, -3}