(4c+6)(4c-6)=

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

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

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

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

Multiply (6 + 4c) * (-6 + 4c)
(6(-6 + 4c) + 4c * (-6 + 4c)) = 0
((-6 * 6 + 4c * 6) + 4c * (-6 + 4c)) = 0
((-36 + 24c) + 4c * (-6 + 4c)) = 0
(-36 + 24c + (-6 * 4c + 4c * 4c)) = 0
(-36 + 24c + (-24c + 16c2)) = 0

Combine like terms: 24c + -24c = 0
(-36 + 0 + 16c2) = 0
(-36 + 16c2) = 0

Solving
-36 + 16c2 = 0

Solving for variable 'c'.

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

Add '36' to each side of the equation.
-36 + 36 + 16c2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 16c2 = 0 + 36
16c2 = 0 + 36

Combine like terms: 0 + 36 = 36
16c2 = 36

Divide each side by '16'.
c2 = 2.25

Simplifying
c2 = 2.25

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