((x)+(x+2)+(x+4))2=(x(x+2))-153

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Solution for ((x)+(x+2)+(x+4))2=(x(x+2))-153 equation: 


Simplifying
((x) + (x + 2) + (x + 4)) * 2 = (x(x + 2)) + -153
(x + (x + 2) + (x + 4)) * 2 = (x(x + 2)) + -153

Reorder the terms:
(x + (2 + x) + (x + 4)) * 2 = (x(x + 2)) + -153

Remove parenthesis around (2 + x)
(x + 2 + x + (x + 4)) * 2 = (x(x + 2)) + -153

Reorder the terms:
(x + 2 + x + (4 + x)) * 2 = (x(x + 2)) + -153

Remove parenthesis around (4 + x)
(x + 2 + x + 4 + x) * 2 = (x(x + 2)) + -153

Reorder the terms:
(2 + 4 + x + x + x) * 2 = (x(x + 2)) + -153

Combine like terms: 2 + 4 = 6
(6 + x + x + x) * 2 = (x(x + 2)) + -153

Combine like terms: x + x = 2x
(6 + 2x + x) * 2 = (x(x + 2)) + -153

Combine like terms: 2x + x = 3x
(6 + 3x) * 2 = (x(x + 2)) + -153

Reorder the terms for easier multiplication:
2(6 + 3x) = (x(x + 2)) + -153
(6 * 2 + 3x * 2) = (x(x + 2)) + -153
(12 + 6x) = (x(x + 2)) + -153

Reorder the terms:
12 + 6x = (x(2 + x)) + -153
12 + 6x = ((2 * x + x * x)) + -153
12 + 6x = ((2x + x2)) + -153
12 + 6x = (2x + x2) + -153

Remove parenthesis around (2x + x2)
12 + 6x = 2x + x2 + -153

Reorder the terms:
12 + 6x = -153 + 2x + x2

Solving
12 + 6x = -153 + 2x + x2

Solving for variable 'x'.

Reorder the terms:
12 + 153 + 6x + -2x + -1x2 = -153 + 2x + x2 + 153 + -2x + -1x2

Combine like terms: 12 + 153 = 165
165 + 6x + -2x + -1x2 = -153 + 2x + x2 + 153 + -2x + -1x2

Combine like terms: 6x + -2x = 4x
165 + 4x + -1x2 = -153 + 2x + x2 + 153 + -2x + -1x2

Reorder the terms:
165 + 4x + -1x2 = -153 + 153 + 2x + -2x + x2 + -1x2

Combine like terms: -153 + 153 = 0
165 + 4x + -1x2 = 0 + 2x + -2x + x2 + -1x2
165 + 4x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
165 + 4x + -1x2 = 0 + x2 + -1x2
165 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
165 + 4x + -1x2 = 0

Factor a trinomial.
(15 + -1x)(11 + x) = 0


Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {15, -11}

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