7a^2+3a=0

Solution for 7a^2+3a=0 equation:

Simplifying
7a2 + 3a = 0

Reorder the terms:
3a + 7a2 = 0

Solving
3a + 7a2 = 0

Solving for variable 'a'.

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

Simplifying
3 + 7a = 0

Solving
3 + 7a = 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 + 7a = 0 + -3

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

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

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

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