3x(3x+2)=168

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


Simplifying
3x(3x + 2) = 168

Reorder the terms:
3x(2 + 3x) = 168
(2 * 3x + 3x * 3x) = 168
(6x + 9x2) = 168

Solving
6x + 9x2 = 168

Solving for variable 'x'.

Reorder the terms:
-168 + 6x + 9x2 = 168 + -168

Combine like terms: 168 + -168 = 0
-168 + 6x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-56 + 2x + 3x2) = 0

Factor a trinomial.
3((-14 + -3x)(4 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-14 + -3x)' equal to zero and attempt to solve:

Simplifying
-14 + -3x = 0

Solving
-14 + -3x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -3x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -3x = 0 + 14
-3x = 0 + 14

Combine like terms: 0 + 14 = 14
-3x = 14

Divide each side by '-3'.
x = -4.666666667

Simplifying
x = -4.666666667

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-4.666666667, 4}

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