5x+6x+7x+x^2+7-50=360

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Solution for 5x+6x+7x+x^2+7-50=360 equation: 


Simplifying
5x + 6x + 7x + x2 + 7 + -50 = 360

Reorder the terms:
7 + -50 + 5x + 6x + 7x + x2 = 360

Combine like terms: 7 + -50 = -43
-43 + 5x + 6x + 7x + x2 = 360

Combine like terms: 5x + 6x = 11x
-43 + 11x + 7x + x2 = 360

Combine like terms: 11x + 7x = 18x
-43 + 18x + x2 = 360

Solving
-43 + 18x + x2 = 360

Solving for variable 'x'.

Reorder the terms:
-43 + -360 + 18x + x2 = 360 + -360

Combine like terms: -43 + -360 = -403
-403 + 18x + x2 = 360 + -360

Combine like terms: 360 + -360 = 0
-403 + 18x + x2 = 0

Factor a trinomial.
(-31 + -1x)(13 + -1x) = 0


Subproblem 1
Set the factor '(-31 + -1x)' equal to zero and attempt to solve:

Simplifying
-31 + -1x = 0

Solving
-31 + -1x = 0

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

Add '31' to each side of the equation.
-31 + 31 + -1x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -1x = 0 + 31
-1x = 0 + 31

Combine like terms: 0 + 31 = 31
-1x = 31

Divide each side by '-1'.
x = -31

Simplifying
x = -31

Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {-31, 13}

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