(3c+6)(3c-6)=

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Solution for (3c+6)(3c-6)= equation:


Simplifying
(3c + 6)(3c + -6) = 0

Reorder the terms:
(6 + 3c)(3c + -6) = 0

Reorder the terms:
(6 + 3c)(-6 + 3c) = 0

Multiply (6 + 3c) * (-6 + 3c)
(6(-6 + 3c) + 3c * (-6 + 3c)) = 0
((-6 * 6 + 3c * 6) + 3c * (-6 + 3c)) = 0
((-36 + 18c) + 3c * (-6 + 3c)) = 0
(-36 + 18c + (-6 * 3c + 3c * 3c)) = 0
(-36 + 18c + (-18c + 9c2)) = 0

Combine like terms: 18c + -18c = 0
(-36 + 0 + 9c2) = 0
(-36 + 9c2) = 0

Solving
-36 + 9c2 = 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 + 9c2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 9c2 = 0 + 36
9c2 = 0 + 36

Combine like terms: 0 + 36 = 36
9c2 = 36

Divide each side by '9'.
c2 = 4

Simplifying
c2 = 4

Take the square root of each side:
c = {-2, 2}

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