x+9+x+3+x^2-3x+3x-3=57

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Solution for x+9+x+3+x^2-3x+3x-3=57 equation: 


Simplifying
x + 9 + x + 3 + x2 + -3x + 3x + -3 = 57

Reorder the terms:
9 + 3 + -3 + x + x + -3x + 3x + x2 = 57

Combine like terms: 9 + 3 = 12
12 + -3 + x + x + -3x + 3x + x2 = 57

Combine like terms: 12 + -3 = 9
9 + x + x + -3x + 3x + x2 = 57

Combine like terms: x + x = 2x
9 + 2x + -3x + 3x + x2 = 57

Combine like terms: 2x + -3x = -1x
9 + -1x + 3x + x2 = 57

Combine like terms: -1x + 3x = 2x
9 + 2x + x2 = 57

Solving
9 + 2x + x2 = 57

Solving for variable 'x'.

Reorder the terms:
9 + -57 + 2x + x2 = 57 + -57

Combine like terms: 9 + -57 = -48
-48 + 2x + x2 = 57 + -57

Combine like terms: 57 + -57 = 0
-48 + 2x + x2 = 0

Factor a trinomial.
(-8 + -1x)(6 + -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 '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-8, 6}

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