x^2+2x-15=-16

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Solution for x^2+2x-15=-16 equation:


Simplifying
x2 + 2x + -15 = -16

Reorder the terms:
-15 + 2x + x2 = -16

Solving
-15 + 2x + x2 = -16

Solving for variable 'x'.

Reorder the terms:
-15 + 16 + 2x + x2 = -16 + 16

Combine like terms: -15 + 16 = 1
1 + 2x + x2 = -16 + 16

Combine like terms: -16 + 16 = 0
1 + 2x + x2 = 0

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

Subproblem 1

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

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 = {-1, -1}

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