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

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

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

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

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

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

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

Solving
-36 + 16a2 = 0

Solving for variable 'a'.

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

Add '36' to each side of the equation.
-36 + 36 + 16a2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 16a2 = 0 + 36
16a2 = 0 + 36

Combine like terms: 0 + 36 = 36
16a2 = 36

Divide each side by '16'.
a2 = 2.25

Simplifying
a2 = 2.25

Take the square root of each side:
a = {-1.5, 1.5}