(x^2-3x)+(x+4)+(x+3)+(3x-3)=39

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Solution for (x^2-3x)+(x+4)+(x+3)+(3x-3)=39 equation: 


Simplifying
(x2 + -3x) + (x + 4) + (x + 3) + (3x + -3) = 39

Reorder the terms:
(-3x + x2) + (x + 4) + (x + 3) + (3x + -3) = 39

Remove parenthesis around (-3x + x2)
-3x + x2 + (x + 4) + (x + 3) + (3x + -3) = 39

Reorder the terms:
-3x + x2 + (4 + x) + (x + 3) + (3x + -3) = 39

Remove parenthesis around (4 + x)
-3x + x2 + 4 + x + (x + 3) + (3x + -3) = 39

Reorder the terms:
-3x + x2 + 4 + x + (3 + x) + (3x + -3) = 39

Remove parenthesis around (3 + x)
-3x + x2 + 4 + x + 3 + x + (3x + -3) = 39

Reorder the terms:
-3x + x2 + 4 + x + 3 + x + (-3 + 3x) = 39

Remove parenthesis around (-3 + 3x)
-3x + x2 + 4 + x + 3 + x + -3 + 3x = 39

Reorder the terms:
4 + 3 + -3 + -3x + x + x + 3x + x2 = 39

Combine like terms: 4 + 3 = 7
7 + -3 + -3x + x + x + 3x + x2 = 39

Combine like terms: 7 + -3 = 4
4 + -3x + x + x + 3x + x2 = 39

Combine like terms: -3x + x = -2x
4 + -2x + x + 3x + x2 = 39

Combine like terms: -2x + x = -1x
4 + -1x + 3x + x2 = 39

Combine like terms: -1x + 3x = 2x
4 + 2x + x2 = 39

Solving
4 + 2x + x2 = 39

Solving for variable 'x'.

Reorder the terms:
4 + -39 + 2x + x2 = 39 + -39

Combine like terms: 4 + -39 = -35
-35 + 2x + x2 = 39 + -39

Combine like terms: 39 + -39 = 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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