(3x+6)(3x+6)=36

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Solution for (3x+6)(3x+6)=36 equation:


Simplifying
(3x + 6)(3x + 6) = 36

Reorder the terms:
(6 + 3x)(3x + 6) = 36

Reorder the terms:
(6 + 3x)(6 + 3x) = 36

Multiply (6 + 3x) * (6 + 3x)
(6(6 + 3x) + 3x * (6 + 3x)) = 36
((6 * 6 + 3x * 6) + 3x * (6 + 3x)) = 36
((36 + 18x) + 3x * (6 + 3x)) = 36
(36 + 18x + (6 * 3x + 3x * 3x)) = 36
(36 + 18x + (18x + 9x2)) = 36

Combine like terms: 18x + 18x = 36x
(36 + 36x + 9x2) = 36

Add '-36' to each side of the equation.
36 + 36x + -36 + 9x2 = 36 + -36

Reorder the terms:
36 + -36 + 36x + 9x2 = 36 + -36

Combine like terms: 36 + -36 = 0
0 + 36x + 9x2 = 36 + -36
36x + 9x2 = 36 + -36

Combine like terms: 36 + -36 = 0
36x + 9x2 = 0

Solving
36x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x'.
9x(4 + x) = 0

Ignore the factor 9.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {0, -4}

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