(x+9)+(x+10)+(4x-4)+(x^2-8x)=183

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Solution for (x+9)+(x+10)+(4x-4)+(x^2-8x)=183 equation: 


Simplifying
(x + 9) + (x + 10) + (4x + -4) + (x2 + -8x) = 183

Reorder the terms:
(9 + x) + (x + 10) + (4x + -4) + (x2 + -8x) = 183

Remove parenthesis around (9 + x)
9 + x + (x + 10) + (4x + -4) + (x2 + -8x) = 183

Reorder the terms:
9 + x + (10 + x) + (4x + -4) + (x2 + -8x) = 183

Remove parenthesis around (10 + x)
9 + x + 10 + x + (4x + -4) + (x2 + -8x) = 183

Reorder the terms:
9 + x + 10 + x + (-4 + 4x) + (x2 + -8x) = 183

Remove parenthesis around (-4 + 4x)
9 + x + 10 + x + -4 + 4x + (x2 + -8x) = 183

Reorder the terms:
9 + x + 10 + x + -4 + 4x + (-8x + x2) = 183

Remove parenthesis around (-8x + x2)
9 + x + 10 + x + -4 + 4x + -8x + x2 = 183

Reorder the terms:
9 + 10 + -4 + x + x + 4x + -8x + x2 = 183

Combine like terms: 9 + 10 = 19
19 + -4 + x + x + 4x + -8x + x2 = 183

Combine like terms: 19 + -4 = 15
15 + x + x + 4x + -8x + x2 = 183

Combine like terms: x + x = 2x
15 + 2x + 4x + -8x + x2 = 183

Combine like terms: 2x + 4x = 6x
15 + 6x + -8x + x2 = 183

Combine like terms: 6x + -8x = -2x
15 + -2x + x2 = 183

Solving
15 + -2x + x2 = 183

Solving for variable 'x'.

Reorder the terms:
15 + -183 + -2x + x2 = 183 + -183

Combine like terms: 15 + -183 = -168
-168 + -2x + x2 = 183 + -183

Combine like terms: 183 + -183 = 0
-168 + -2x + x2 = 0

Factor a trinomial.
(-12 + -1x)(14 + -1x) = 0


Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-12, 14}

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