(4a-6)(6a+8)=

Solution for (4a-6)(6a+8)= equation:

Simplifying
(4a + -6)(6a + 8) = 0

Reorder the terms:
(-6 + 4a)(6a + 8) = 0

Reorder the terms:
(-6 + 4a)(8 + 6a) = 0

Multiply (-6 + 4a) * (8 + 6a)
(-6(8 + 6a) + 4a * (8 + 6a)) = 0
((8 * -6 + 6a * -6) + 4a * (8 + 6a)) = 0
((-48 + -36a) + 4a * (8 + 6a)) = 0
(-48 + -36a + (8 * 4a + 6a * 4a)) = 0
(-48 + -36a + (32a + 24a2)) = 0

Combine like terms: -36a + 32a = -4a
(-48 + -4a + 24a2) = 0

Solving
-48 + -4a + 24a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + -1a + 6a2) = 0

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

Ignore the factor 4.
Subproblem 1
Set the factor '(-4 + -3a)' equal to zero and attempt to solve:

Simplifying
-4 + -3a = 0

Solving
-4 + -3a = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3a = 0 + 4
-3a = 0 + 4

Combine like terms: 0 + 4 = 4
-3a = 4

Divide each side by '-3'.
a = -1.333333333

Simplifying
a = -1.333333333
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 = {-1.333333333, 1.5}