x^2+14x+54=9

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Solution for x^2+14x+54=9 equation:


Simplifying
x2 + 14x + 54 = 9

Reorder the terms:
54 + 14x + x2 = 9

Solving
54 + 14x + x2 = 9

Solving for variable 'x'.

Reorder the terms:
54 + -9 + 14x + x2 = 9 + -9

Combine like terms: 54 + -9 = 45
45 + 14x + x2 = 9 + -9

Combine like terms: 9 + -9 = 0
45 + 14x + x2 = 0

Factor a trinomial.
(9 + x)(5 + 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {-9, -5}

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