5a(3a-2)=

Solution for 5a(3a-2)= equation:

Simplifying
5a(3a + -2) = 0

Reorder the terms:
5a(-2 + 3a) = 0
(-2 * 5a + 3a * 5a) = 0
(-10a + 15a2) = 0

Solving
-10a + 15a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a'.
5a(-2 + 3a) = 0

Ignore the factor 5.
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 '(-2 + 3a)' equal to zero and attempt to solve:

Simplifying
-2 + 3a = 0

Solving
-2 + 3a = 0

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

Add '2' to each side of the equation.
-2 + 2 + 3a = 0 + 2

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

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

Divide each side by '3'.
a = 0.6666666667

Simplifying
a = 0.6666666667
Solution
a = {0, 0.6666666667}