(4x+6)(4x-6)=0

Solution for (4x+6)(4x-6)=0 equation:

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

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

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

Multiply (6 + 4x) * (-6 + 4x)
(6(-6 + 4x) + 4x * (-6 + 4x)) = 0
((-6 * 6 + 4x * 6) + 4x * (-6 + 4x)) = 0
((-36 + 24x) + 4x * (-6 + 4x)) = 0
(-36 + 24x + (-6 * 4x + 4x * 4x)) = 0
(-36 + 24x + (-24x + 16x2)) = 0

Combine like terms: 24x + -24x = 0
(-36 + 0 + 16x2) = 0
(-36 + 16x2) = 0

Solving
-36 + 16x2 = 0

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 16x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 16x2 = 0 + 36
16x2 = 0 + 36

Combine like terms: 0 + 36 = 36
16x2 = 36

Divide each side by '16'.
x2 = 2.25

Simplifying
x2 = 2.25

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