(6a-2)(5a+6)=

Solution for (6a-2)(5a+6)= equation:

Simplifying
(6a + -2)(5a + 6) = 0

Reorder the terms:
(-2 + 6a)(5a + 6) = 0

Reorder the terms:
(-2 + 6a)(6 + 5a) = 0

Multiply (-2 + 6a) * (6 + 5a)
(-2(6 + 5a) + 6a * (6 + 5a)) = 0
((6 * -2 + 5a * -2) + 6a * (6 + 5a)) = 0
((-12 + -10a) + 6a * (6 + 5a)) = 0
(-12 + -10a + (6 * 6a + 5a * 6a)) = 0
(-12 + -10a + (36a + 30a2)) = 0

Combine like terms: -10a + 36a = 26a
(-12 + 26a + 30a2) = 0

Solving
-12 + 26a + 30a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 13a + 15a2) = 0

Factor a trinomial.
2((-6 + -5a)(1 + -3a)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-6 + -5a)' equal to zero and attempt to solve:

Simplifying
-6 + -5a = 0

Solving
-6 + -5a = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5a = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5a = 0 + 6
-5a = 0 + 6

Combine like terms: 0 + 6 = 6
-5a = 6

Divide each side by '-5'.
a = -1.2

Simplifying
a = -1.2
Subproblem 2
Set the factor '(1 + -3a)' equal to zero and attempt to solve:

Simplifying
1 + -3a = 0

Solving
1 + -3a = 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 + -3a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3a = 0 + -1
-3a = 0 + -1

Combine like terms: 0 + -1 = -1
-3a = -1

Divide each side by '-3'.
a = 0.3333333333

Simplifying
a = 0.3333333333
Solution
a = {-1.2, 0.3333333333}