x^2-3x+3x-4+x+5+x+2=38

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Solution for x^2-3x+3x-4+x+5+x+2=38 equation: 


Simplifying
x2 + -3x + 3x + -4 + x + 5 + x + 2 = 38

Reorder the terms:
-4 + 5 + 2 + -3x + 3x + x + x + x2 = 38

Combine like terms: -4 + 5 = 1
1 + 2 + -3x + 3x + x + x + x2 = 38

Combine like terms: 1 + 2 = 3
3 + -3x + 3x + x + x + x2 = 38

Combine like terms: -3x + 3x = 0
3 + 0 + x + x + x2 = 38
3 + x + x + x2 = 38

Combine like terms: x + x = 2x
3 + 2x + x2 = 38

Solving
3 + 2x + x2 = 38

Solving for variable 'x'.

Reorder the terms:
3 + -38 + 2x + x2 = 38 + -38

Combine like terms: 3 + -38 = -35
-35 + 2x + x2 = 38 + -38

Combine like terms: 38 + -38 = 0
-35 + 2x + x2 = 0

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


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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