168=(x+2)(3x+3)

Solution for 168=(x+2)(3x+3) equation:

Simplifying
168 = (x + 2)(3x + 3)

Reorder the terms:
168 = (2 + x)(3x + 3)

Reorder the terms:
168 = (2 + x)(3 + 3x)

Multiply (2 + x) * (3 + 3x)
168 = (2(3 + 3x) + x(3 + 3x))
168 = ((3 * 2 + 3x * 2) + x(3 + 3x))
168 = ((6 + 6x) + x(3 + 3x))
168 = (6 + 6x + (3 * x + 3x * x))
168 = (6 + 6x + (3x + 3x2))

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

Solving
168 = 6 + 9x + 3x2

Solving for variable 'x'.

Combine like terms: 168 + -6 = 162
162 + -9x + -3x2 = 6 + 9x + 3x2 + -6 + -9x + -3x2

Reorder the terms:
162 + -9x + -3x2 = 6 + -6 + 9x + -9x + 3x2 + -3x2

Combine like terms: 6 + -6 = 0
162 + -9x + -3x2 = 0 + 9x + -9x + 3x2 + -3x2
162 + -9x + -3x2 = 9x + -9x + 3x2 + -3x2

Combine like terms: 9x + -9x = 0
162 + -9x + -3x2 = 0 + 3x2 + -3x2
162 + -9x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
162 + -9x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(54 + -3x + -1x2) = 0

Factor a trinomial.
3((6 + -1x)(9 + x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 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 + x = 0 + -9

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

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

Simplifying
x = -9
Solution
x = {6, -9}