44a^2+11a=0

Solution for 44a^2+11a=0 equation:

Simplifying
44a2 + 11a = 0

Reorder the terms:
11a + 44a2 = 0

Solving
11a + 44a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '11a'.
11a(1 + 4a) = 0

Ignore the factor 11.
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 '(1 + 4a)' equal to zero and attempt to solve:

Simplifying
1 + 4a = 0

Solving
1 + 4a = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4a = 0 + -1
4a = 0 + -1

Combine like terms: 0 + -1 = -1
4a = -1

Divide each side by '4'.
a = -0.25

Simplifying
a = -0.25
Solution
a = {0, -0.25}