(x+15)+(x+13)+(4x-2)+(x^2-8x)-125=0

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Solution for (x+15)+(x+13)+(4x-2)+(x^2-8x)-125=0 equation: 


Simplifying
(x + 15) + (x + 13) + (4x + -2) + (x2 + -8x) + -125 = 0

Reorder the terms:
(15 + x) + (x + 13) + (4x + -2) + (x2 + -8x) + -125 = 0

Remove parenthesis around (15 + x)
15 + x + (x + 13) + (4x + -2) + (x2 + -8x) + -125 = 0

Reorder the terms:
15 + x + (13 + x) + (4x + -2) + (x2 + -8x) + -125 = 0

Remove parenthesis around (13 + x)
15 + x + 13 + x + (4x + -2) + (x2 + -8x) + -125 = 0

Reorder the terms:
15 + x + 13 + x + (-2 + 4x) + (x2 + -8x) + -125 = 0

Remove parenthesis around (-2 + 4x)
15 + x + 13 + x + -2 + 4x + (x2 + -8x) + -125 = 0

Reorder the terms:
15 + x + 13 + x + -2 + 4x + (-8x + x2) + -125 = 0

Remove parenthesis around (-8x + x2)
15 + x + 13 + x + -2 + 4x + -8x + x2 + -125 = 0

Reorder the terms:
15 + 13 + -2 + -125 + x + x + 4x + -8x + x2 = 0

Combine like terms: 15 + 13 = 28
28 + -2 + -125 + x + x + 4x + -8x + x2 = 0

Combine like terms: 28 + -2 = 26
26 + -125 + x + x + 4x + -8x + x2 = 0

Combine like terms: 26 + -125 = -99
-99 + x + x + 4x + -8x + x2 = 0

Combine like terms: x + x = 2x
-99 + 2x + 4x + -8x + x2 = 0

Combine like terms: 2x + 4x = 6x
-99 + 6x + -8x + x2 = 0

Combine like terms: 6x + -8x = -2x
-99 + -2x + x2 = 0

Solving
-99 + -2x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -1x)(11 + -1x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-9, 11}

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