2(x+(x+2)+(x+4))=((x)(x+2))-33

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Solution for 2(x+(x+2)+(x+4))=((x)(x+2))-33 equation: 


Simplifying
2(x + (x + 2) + (x + 4)) = ((x)(x + 2)) + -33

Reorder the terms:
2(x + (2 + x) + (x + 4)) = ((x)(x + 2)) + -33

Remove parenthesis around (2 + x)
2(x + 2 + x + (x + 4)) = ((x)(x + 2)) + -33

Reorder the terms:
2(x + 2 + x + (4 + x)) = ((x)(x + 2)) + -33

Remove parenthesis around (4 + x)
2(x + 2 + x + 4 + x) = ((x)(x + 2)) + -33

Reorder the terms:
2(2 + 4 + x + x + x) = ((x)(x + 2)) + -33

Combine like terms: 2 + 4 = 6
2(6 + x + x + x) = ((x)(x + 2)) + -33

Combine like terms: x + x = 2x
2(6 + 2x + x) = ((x)(x + 2)) + -33

Combine like terms: 2x + x = 3x
2(6 + 3x) = ((x)(x + 2)) + -33
(6 * 2 + 3x * 2) = ((x)(x + 2)) + -33
(12 + 6x) = ((x)(x + 2)) + -33

Reorder the terms:
12 + 6x = (x(2 + x)) + -33
12 + 6x = ((2 * x + x * x)) + -33
12 + 6x = ((2x + x2)) + -33
12 + 6x = (2x + x2) + -33

Remove parenthesis around (2x + x2)
12 + 6x = 2x + x2 + -33

Reorder the terms:
12 + 6x = -33 + 2x + x2

Solving
12 + 6x = -33 + 2x + x2

Solving for variable 'x'.

Reorder the terms:
12 + 33 + 6x + -2x + -1x2 = -33 + 2x + x2 + 33 + -2x + -1x2

Combine like terms: 12 + 33 = 45
45 + 6x + -2x + -1x2 = -33 + 2x + x2 + 33 + -2x + -1x2

Combine like terms: 6x + -2x = 4x
45 + 4x + -1x2 = -33 + 2x + x2 + 33 + -2x + -1x2

Reorder the terms:
45 + 4x + -1x2 = -33 + 33 + 2x + -2x + x2 + -1x2

Combine like terms: -33 + 33 = 0
45 + 4x + -1x2 = 0 + 2x + -2x + x2 + -1x2
45 + 4x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
45 + 4x + -1x2 = 0 + x2 + -1x2
45 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
45 + 4x + -1x2 = 0

Factor a trinomial.
(9 + -1x)(5 + x) = 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 '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 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 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {9, -5}

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