x^2=-15x-44

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Solution for x^2=-15x-44 equation:


Simplifying
x2 = -15x + -44

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

Solving
x2 = -44 + -15x

Solving for variable 'x'.

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

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

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

Combine like terms: -15x + 15x = 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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