(3x+3)(x+3)=360

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Solution for (3x+3)(x+3)=360 equation: 


Simplifying
(3x + 3)(x + 3) = 360

Reorder the terms:
(3 + 3x)(x + 3) = 360

Reorder the terms:
(3 + 3x)(3 + x) = 360

Multiply (3 + 3x) * (3 + x)
(3(3 + x) + 3x * (3 + x)) = 360
((3 * 3 + x * 3) + 3x * (3 + x)) = 360
((9 + 3x) + 3x * (3 + x)) = 360
(9 + 3x + (3 * 3x + x * 3x)) = 360
(9 + 3x + (9x + 3x2)) = 360

Combine like terms: 3x + 9x = 12x
(9 + 12x + 3x2) = 360

Solving
9 + 12x + 3x2 = 360

Solving for variable 'x'.

Reorder the terms:
9 + -360 + 12x + 3x2 = 360 + -360

Combine like terms: 9 + -360 = -351
-351 + 12x + 3x2 = 360 + -360

Combine like terms: 360 + -360 = 0
-351 + 12x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-117 + 4x + x2) = 0

Factor a trinomial.
3((-13 + -1x)(9 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-13, 9}

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