(3x+3)*x=168

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


Simplifying
(3x + 3) * x = 168

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

Reorder the terms for easier multiplication:
x(3 + 3x) = 168
(3 * x + 3x * x) = 168
(3x + 3x2) = 168

Solving
3x + 3x2 = 168

Solving for variable 'x'.

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

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

Factor out the Greatest Common Factor (GCF), '3'.
3(-56 + x + x2) = 0

Factor a trinomial.
3((-8 + -1x)(7 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-8, 7}

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