(x+2)(6)(x)=378

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Solution for (x+2)(6)(x)=378 equation: 


Simplifying
(x + 2)(6)(x) = 378

Reorder the terms:
(2 + x)(6)(x) = 378

Reorder the terms for easier multiplication:
6x(2 + x) = 378
(2 * 6x + x * 6x) = 378
(12x + 6x2) = 378

Solving
12x + 6x2 = 378

Solving for variable 'x'.

Reorder the terms:
-378 + 12x + 6x2 = 378 + -378

Combine like terms: 378 + -378 = 0
-378 + 12x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-63 + 2x + x2) = 0

Factor a trinomial.
6((-9 + -1x)(7 + -1x)) = 0

Ignore the factor 6.

Subproblem 1
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

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 = {-9, 7}

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