5a^2+4ab=

Solution for 5a^2+4ab= equation:

Simplifying
5a2 + 4ab = 0

Reorder the terms:
4ab + 5a2 = 0

Solving
4ab + 5a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(4b + 5a) = 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 '(4b + 5a)' equal to zero and attempt to solve:

Simplifying
4b + 5a = 0

Reorder the terms:
5a + 4b = 0

Solving
5a + 4b = 0

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

Add '-4b' to each side of the equation.
5a + 4b + -4b = 0 + -4b

Combine like terms: 4b + -4b = 0
5a + 0 = 0 + -4b
5a = 0 + -4b
Remove the zero:
5a = -4b

Divide each side by '5'.
a = -0.8b

Simplifying
a = -0.8b
Solution
a = {0, -0.8b}