(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}