(3x+6)(x+3)=168

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Solution for (3x+6)(x+3)=168 equation: 


Simplifying
(3x + 6)(x + 3) = 168

Reorder the terms:
(6 + 3x)(x + 3) = 168

Reorder the terms:
(6 + 3x)(3 + x) = 168

Multiply (6 + 3x) * (3 + x)
(6(3 + x) + 3x * (3 + x)) = 168
((3 * 6 + x * 6) + 3x * (3 + x)) = 168
((18 + 6x) + 3x * (3 + x)) = 168
(18 + 6x + (3 * 3x + x * 3x)) = 168
(18 + 6x + (9x + 3x2)) = 168

Combine like terms: 6x + 9x = 15x
(18 + 15x + 3x2) = 168

Solving
18 + 15x + 3x2 = 168

Solving for variable 'x'.

Reorder the terms:
18 + -168 + 15x + 3x2 = 168 + -168

Combine like terms: 18 + -168 = -150
-150 + 15x + 3x2 = 168 + -168

Combine like terms: 168 + -168 = 0
-150 + 15x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-50 + 5x + x2) = 0

Factor a trinomial.
3((-10 + -1x)(5 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-10, 5}

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