x(x+15)=-44

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Solution for x(x+15)=-44 equation: 


Simplifying
x(x + 15) = -44

Reorder the terms:
x(15 + x) = -44
(15 * x + x * x) = -44
(15x + x2) = -44

Solving
15x + x2 = -44

Solving for variable 'x'.

Reorder the terms:
44 + 15x + x2 = -44 + 44

Combine like terms: -44 + 44 = 0
44 + 15x + x2 = 0

Factor a trinomial.
(11 + x)(4 + x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-11, -4}

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