x^2=-15x-54

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Solution for x^2=-15x-54 equation:


Simplifying
x2 = -15x + -54

Reorder the terms:
x2 = -54 + -15x

Solving
x2 = -54 + -15x

Solving for variable 'x'.

Reorder the terms:
54 + 15x + x2 = -54 + -15x + 54 + 15x

Reorder the terms:
54 + 15x + x2 = -54 + 54 + -15x + 15x

Combine like terms: -54 + 54 = 0
54 + 15x + x2 = 0 + -15x + 15x
54 + 15x + x2 = -15x + 15x

Combine like terms: -15x + 15x = 0
54 + 15x + x2 = 0

Factor a trinomial.
(9 + x)(6 + x) = 0

Subproblem 1

Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9

Subproblem 2

Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6

Solution

x = {-9, -6}

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