360=x^2+8x+30+11x

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Solution for 360=x^2+8x+30+11x equation: 


Simplifying
360 = x2 + 8x + 30 + 11x

Reorder the terms:
360 = 30 + 8x + 11x + x2

Combine like terms: 8x + 11x = 19x
360 = 30 + 19x + x2

Solving
360 = 30 + 19x + x2

Solving for variable 'x'.

Combine like terms: 360 + -30 = 330
330 + -19x + -1x2 = 30 + 19x + x2 + -30 + -19x + -1x2

Reorder the terms:
330 + -19x + -1x2 = 30 + -30 + 19x + -19x + x2 + -1x2

Combine like terms: 30 + -30 = 0
330 + -19x + -1x2 = 0 + 19x + -19x + x2 + -1x2
330 + -19x + -1x2 = 19x + -19x + x2 + -1x2

Combine like terms: 19x + -19x = 0
330 + -19x + -1x2 = 0 + x2 + -1x2
330 + -19x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
330 + -19x + -1x2 = 0

Factor a trinomial.
(11 + -1x)(30 + x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(30 + x)' equal to zero and attempt to solve:

Simplifying
30 + x = 0

Solving
30 + x = 0

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

Add '-30' to each side of the equation.
30 + -30 + x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + x = 0 + -30
x = 0 + -30

Combine like terms: 0 + -30 = -30
x = -30

Simplifying
x = -30
Solution
x = {11, -30}

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