5a(4a-6)=

Solution for 5a(4a-6)= equation:

Simplifying
5a(4a + -6) = 0

Reorder the terms:
5a(-6 + 4a) = 0
(-6 * 5a + 4a * 5a) = 0
(-30a + 20a2) = 0

Solving
-30a + 20a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '10a'.
10a(-3 + 2a) = 0

Ignore the factor 10.
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 + 2a)' equal to zero and attempt to solve:

Simplifying
-3 + 2a = 0

Solving
-3 + 2a = 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 + 2a = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2a = 0 + 3
2a = 0 + 3

Combine like terms: 0 + 3 = 3
2a = 3

Divide each side by '2'.
a = 1.5

Simplifying
a = 1.5
Solution
a = {0, 1.5}