44=(x+5)+(x+2)+(x^2-2x)+(3x-3)

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Solution for 44=(x+5)+(x+2)+(x^2-2x)+(3x-3) equation: 


Simplifying
44 = (x + 5) + (x + 2) + (x2 + -2x) + (3x + -3)

Reorder the terms:
44 = (5 + x) + (x + 2) + (x2 + -2x) + (3x + -3)

Remove parenthesis around (5 + x)
44 = 5 + x + (x + 2) + (x2 + -2x) + (3x + -3)

Reorder the terms:
44 = 5 + x + (2 + x) + (x2 + -2x) + (3x + -3)

Remove parenthesis around (2 + x)
44 = 5 + x + 2 + x + (x2 + -2x) + (3x + -3)

Reorder the terms:
44 = 5 + x + 2 + x + (-2x + x2) + (3x + -3)

Remove parenthesis around (-2x + x2)
44 = 5 + x + 2 + x + -2x + x2 + (3x + -3)

Reorder the terms:
44 = 5 + x + 2 + x + -2x + x2 + (-3 + 3x)

Remove parenthesis around (-3 + 3x)
44 = 5 + x + 2 + x + -2x + x2 + -3 + 3x

Reorder the terms:
44 = 5 + 2 + -3 + x + x + -2x + 3x + x2

Combine like terms: 5 + 2 = 7
44 = 7 + -3 + x + x + -2x + 3x + x2

Combine like terms: 7 + -3 = 4
44 = 4 + x + x + -2x + 3x + x2

Combine like terms: x + x = 2x
44 = 4 + 2x + -2x + 3x + x2

Combine like terms: 2x + -2x = 0
44 = 4 + 0 + 3x + x2
44 = 4 + 3x + x2

Solving
44 = 4 + 3x + x2

Solving for variable 'x'.

Combine like terms: 44 + -4 = 40
40 + -3x + -1x2 = 4 + 3x + x2 + -4 + -3x + -1x2

Reorder the terms:
40 + -3x + -1x2 = 4 + -4 + 3x + -3x + x2 + -1x2

Combine like terms: 4 + -4 = 0
40 + -3x + -1x2 = 0 + 3x + -3x + x2 + -1x2
40 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
40 + -3x + -1x2 = 0 + x2 + -1x2
40 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
40 + -3x + -1x2 = 0

Factor a trinomial.
(5 + -1x)(8 + x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {5, -8}

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