-6a(3a+7a-6)=

Solution for -6a(3a+7a-6)= equation:

Simplifying
-6a(3a + 7a + -6) = 0

Reorder the terms:
-6a(-6 + 3a + 7a) = 0

Combine like terms: 3a + 7a = 10a
-6a(-6 + 10a) = 0
(-6 * -6a + 10a * -6a) = 0
(36a + -60a2) = 0

Solving
36a + -60a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '12a'.
12a(3 + -5a) = 0

Ignore the factor 12.
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 + -5a)' equal to zero and attempt to solve:

Simplifying
3 + -5a = 0

Solving
3 + -5a = 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 + -5a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5a = 0 + -3
-5a = 0 + -3

Combine like terms: 0 + -3 = -3
-5a = -3

Divide each side by '-5'.
a = 0.6

Simplifying
a = 0.6
Solution
a = {0, 0.6}