4a^2+9a-0=0

Solution for 4a^2+9a-0=0 equation:

Simplifying
4a2 + 9a + 0 = 0

Reorder the terms:
0 + 9a + 4a2 = 0
Remove the zero:
9a + 4a2 = 0

Solving
9a + 4a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(9 + 4a) = 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 '(9 + 4a)' equal to zero and attempt to solve:

Simplifying
9 + 4a = 0

Solving
9 + 4a = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4a = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4a = 0 + -9
4a = 0 + -9

Combine like terms: 0 + -9 = -9
4a = -9

Divide each side by '4'.
a = -2.25

Simplifying
a = -2.25
Solution
a = {0, -2.25}