x^2+14x=-13

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Solution for x^2+14x=-13 equation:


Simplifying
x2 + 14x = -13

Reorder the terms:
14x + x2 = -13

Solving
14x + x2 = -13

Solving for variable 'x'.

Reorder the terms:
13 + 14x + x2 = -13 + 13

Combine like terms: -13 + 13 = 0
13 + 14x + x2 = 0

Factor a trinomial.
(13 + x)(1 + x) = 0

Subproblem 1

Set the factor '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {-13, -1}

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