(2b+6)(2b-6)=

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


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

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

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

Multiply (6 + 2b) * (-6 + 2b)
(6(-6 + 2b) + 2b * (-6 + 2b)) = 0
((-6 * 6 + 2b * 6) + 2b * (-6 + 2b)) = 0
((-36 + 12b) + 2b * (-6 + 2b)) = 0
(-36 + 12b + (-6 * 2b + 2b * 2b)) = 0
(-36 + 12b + (-12b + 4b2)) = 0

Combine like terms: 12b + -12b = 0
(-36 + 0 + 4b2) = 0
(-36 + 4b2) = 0

Solving
-36 + 4b2 = 0

Solving for variable 'b'.

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

Add '36' to each side of the equation.
-36 + 36 + 4b2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 4b2 = 0 + 36
4b2 = 0 + 36

Combine like terms: 0 + 36 = 36
4b2 = 36

Divide each side by '4'.
b2 = 9

Simplifying
b2 = 9

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

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