4a(5a^2-4a-9)=

Solution for 4a(5a^2-4a-9)= equation:

Simplifying
4a(5a2 + -4a + -9) = 0

Reorder the terms:
4a(-9 + -4a + 5a2) = 0
(-9 * 4a + -4a * 4a + 5a2 * 4a) = 0
(-36a + -16a2 + 20a3) = 0

Solving
-36a + -16a2 + 20a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-9 + -4a + 5a2) = 0

Factor a trinomial.
4a((-1 + -1a)(9 + -5a)) = 0

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

Simplifying
-1 + -1a = 0

Solving
-1 + -1a = 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 + -1a = 0 + 1

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

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

Divide each side by '-1'.
a = -1

Simplifying
a = -1
Subproblem 3
Set the factor '(9 + -5a)' equal to zero and attempt to solve:

Simplifying
9 + -5a = 0

Solving
9 + -5a = 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 + -5a = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5a = 0 + -9
-5a = 0 + -9

Combine like terms: 0 + -9 = -9
-5a = -9

Divide each side by '-5'.
a = 1.8

Simplifying
a = 1.8
Solution
a = {0, -1, 1.8}