x+7+x+9+x^2-2x+3x-3=53

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Solution for x+7+x+9+x^2-2x+3x-3=53 equation: 


Simplifying
x + 7 + x + 9 + x2 + -2x + 3x + -3 = 53

Reorder the terms:
7 + 9 + -3 + x + x + -2x + 3x + x2 = 53

Combine like terms: 7 + 9 = 16
16 + -3 + x + x + -2x + 3x + x2 = 53

Combine like terms: 16 + -3 = 13
13 + x + x + -2x + 3x + x2 = 53

Combine like terms: x + x = 2x
13 + 2x + -2x + 3x + x2 = 53

Combine like terms: 2x + -2x = 0
13 + 0 + 3x + x2 = 53
13 + 3x + x2 = 53

Solving
13 + 3x + x2 = 53

Solving for variable 'x'.

Reorder the terms:
13 + -53 + 3x + x2 = 53 + -53

Combine like terms: 13 + -53 = -40
-40 + 3x + x2 = 53 + -53

Combine like terms: 53 + -53 = 0
-40 + 3x + x2 = 0

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


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 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 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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 = {-8, 5}

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