x+4+x+7+x^2-3x+3x-4=55

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Solution for x+4+x+7+x^2-3x+3x-4=55 equation: 


Simplifying
x + 4 + x + 7 + x2 + -3x + 3x + -4 = 55

Reorder the terms:
4 + 7 + -4 + x + x + -3x + 3x + x2 = 55

Combine like terms: 4 + 7 = 11
11 + -4 + x + x + -3x + 3x + x2 = 55

Combine like terms: 11 + -4 = 7
7 + x + x + -3x + 3x + x2 = 55

Combine like terms: x + x = 2x
7 + 2x + -3x + 3x + x2 = 55

Combine like terms: 2x + -3x = -1x
7 + -1x + 3x + x2 = 55

Combine like terms: -1x + 3x = 2x
7 + 2x + x2 = 55

Solving
7 + 2x + x2 = 55

Solving for variable 'x'.

Reorder the terms:
7 + -55 + 2x + x2 = 55 + -55

Combine like terms: 7 + -55 = -48
-48 + 2x + x2 = 55 + -55

Combine like terms: 55 + -55 = 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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