x(x+2)6=210

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Solution for x(x+2)6=210 equation: 


Simplifying
x(x + 2) * 6 = 210

Reorder the terms:
x(2 + x) * 6 = 210

Reorder the terms for easier multiplication:
6x(2 + x) = 210
(2 * 6x + x * 6x) = 210
(12x + 6x2) = 210

Solving
12x + 6x2 = 210

Solving for variable 'x'.

Reorder the terms:
-210 + 12x + 6x2 = 210 + -210

Combine like terms: 210 + -210 = 0
-210 + 12x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-35 + 2x + x2) = 0

Factor a trinomial.
6((-7 + -1x)(5 + -1x)) = 0

Ignore the factor 6.

Subproblem 1
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

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 = {-7, 5}

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