(6a+4)(4a-6)=

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

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

Reorder the terms:
(4 + 6a)(4a + -6) = 0

Reorder the terms:
(4 + 6a)(-6 + 4a) = 0

Multiply (4 + 6a) * (-6 + 4a)
(4(-6 + 4a) + 6a * (-6 + 4a)) = 0
((-6 * 4 + 4a * 4) + 6a * (-6 + 4a)) = 0
((-24 + 16a) + 6a * (-6 + 4a)) = 0
(-24 + 16a + (-6 * 6a + 4a * 6a)) = 0
(-24 + 16a + (-36a + 24a2)) = 0

Combine like terms: 16a + -36a = -20a
(-24 + -20a + 24a2) = 0

Solving
-24 + -20a + 24a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + -5a + 6a2) = 0

Factor a trinomial.
4((-2 + -3a)(3 + -2a)) = 0

Ignore the factor 4.
Subproblem 1
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
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 = {-0.6666666667, 1.5}