x^2=-15x-36

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Solution for x^2=-15x-36 equation:


Simplifying
x2 = -15x + -36

Reorder the terms:
x2 = -36 + -15x

Solving
x2 = -36 + -15x

Solving for variable 'x'.

Reorder the terms:
36 + 15x + x2 = -36 + -15x + 36 + 15x

Reorder the terms:
36 + 15x + x2 = -36 + 36 + -15x + 15x

Combine like terms: -36 + 36 = 0
36 + 15x + x2 = 0 + -15x + 15x
36 + 15x + x2 = -15x + 15x

Combine like terms: -15x + 15x = 0
36 + 15x + x2 = 0

Factor a trinomial.
(12 + x)(3 + x) = 0

Subproblem 1

Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 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 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12

Subproblem 2

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {-12, -3}

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