(2x+6)(2x-6)=

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Solution for (2x+6)(2x-6)= equation:


Simplifying
(2x + 6)(2x + -6) = 0

Reorder the terms:
(6 + 2x)(2x + -6) = 0

Reorder the terms:
(6 + 2x)(-6 + 2x) = 0

Multiply (6 + 2x) * (-6 + 2x)
(6(-6 + 2x) + 2x * (-6 + 2x)) = 0
((-6 * 6 + 2x * 6) + 2x * (-6 + 2x)) = 0
((-36 + 12x) + 2x * (-6 + 2x)) = 0
(-36 + 12x + (-6 * 2x + 2x * 2x)) = 0
(-36 + 12x + (-12x + 4x2)) = 0

Combine like terms: 12x + -12x = 0
(-36 + 0 + 4x2) = 0
(-36 + 4x2) = 0

Solving
-36 + 4x2 = 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 + 4x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 4x2 = 0 + 36
4x2 = 0 + 36

Combine like terms: 0 + 36 = 36
4x2 = 36

Divide each side by '4'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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