x+8+x+3+x^2-3x+4x-2=49

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Solution for x+8+x+3+x^2-3x+4x-2=49 equation: 


Simplifying
x + 8 + x + 3 + x2 + -3x + 4x + -2 = 49

Reorder the terms:
8 + 3 + -2 + x + x + -3x + 4x + x2 = 49

Combine like terms: 8 + 3 = 11
11 + -2 + x + x + -3x + 4x + x2 = 49

Combine like terms: 11 + -2 = 9
9 + x + x + -3x + 4x + x2 = 49

Combine like terms: x + x = 2x
9 + 2x + -3x + 4x + x2 = 49

Combine like terms: 2x + -3x = -1x
9 + -1x + 4x + x2 = 49

Combine like terms: -1x + 4x = 3x
9 + 3x + x2 = 49

Solving
9 + 3x + x2 = 49

Solving for variable 'x'.

Reorder the terms:
9 + -49 + 3x + x2 = 49 + -49

Combine like terms: 9 + -49 = -40
-40 + 3x + x2 = 49 + -49

Combine like terms: 49 + -49 = 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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