4x+110+180-(x^2+5x)=180

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Solution for 4x+110+180-(x^2+5x)=180 equation: 


Simplifying
4x + 110 + 180 + -1(x2 + 5x) = 180

Reorder the terms:
4x + 110 + 180 + -1(5x + x2) = 180
4x + 110 + 180 + (5x * -1 + x2 * -1) = 180
4x + 110 + 180 + (-5x + -1x2) = 180

Reorder the terms:
110 + 180 + 4x + -5x + -1x2 = 180

Combine like terms: 110 + 180 = 290
290 + 4x + -5x + -1x2 = 180

Combine like terms: 4x + -5x = -1x
290 + -1x + -1x2 = 180

Solving
290 + -1x + -1x2 = 180

Solving for variable 'x'.

Reorder the terms:
290 + -180 + -1x + -1x2 = 180 + -180

Combine like terms: 290 + -180 = 110
110 + -1x + -1x2 = 180 + -180

Combine like terms: 180 + -180 = 0
110 + -1x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(11 + x) = 0


Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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

Simplifying
11 + x = 0

Solving
11 + x = 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 + x = 0 + -11

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

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

Simplifying
x = -11
Solution
x = {10, -11}

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