x(x+2)=159+6(x+x+2)

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Solution for x(x+2)=159+6(x+x+2) equation: 


Simplifying
x(x + 2) = 159 + 6(x + x + 2)

Reorder the terms:
x(2 + x) = 159 + 6(x + x + 2)
(2 * x + x * x) = 159 + 6(x + x + 2)
(2x + x2) = 159 + 6(x + x + 2)

Reorder the terms:
2x + x2 = 159 + 6(2 + x + x)

Combine like terms: x + x = 2x
2x + x2 = 159 + 6(2 + 2x)
2x + x2 = 159 + (2 * 6 + 2x * 6)
2x + x2 = 159 + (12 + 12x)

Combine like terms: 159 + 12 = 171
2x + x2 = 171 + 12x

Solving
2x + x2 = 171 + 12x

Solving for variable 'x'.

Reorder the terms:
-171 + 2x + -12x + x2 = 171 + 12x + -171 + -12x

Combine like terms: 2x + -12x = -10x
-171 + -10x + x2 = 171 + 12x + -171 + -12x

Reorder the terms:
-171 + -10x + x2 = 171 + -171 + 12x + -12x

Combine like terms: 171 + -171 = 0
-171 + -10x + x2 = 0 + 12x + -12x
-171 + -10x + x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-171 + -10x + x2 = 0

Factor a trinomial.
(-9 + -1x)(19 + -1x) = 0


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 '(19 + -1x)' equal to zero and attempt to solve:

Simplifying
19 + -1x = 0

Solving
19 + -1x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 0 + -19
-1x = 0 + -19

Combine like terms: 0 + -19 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19
Solution
x = {-9, 19}

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