x^2+6x+8=-1

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Solution for x^2+6x+8=-1 equation:


Simplifying
x2 + 6x + 8 = -1

Reorder the terms:
8 + 6x + x2 = -1

Solving
8 + 6x + x2 = -1

Solving for variable 'x'.

Reorder the terms:
8 + 1 + 6x + x2 = -1 + 1

Combine like terms: 8 + 1 = 9
9 + 6x + x2 = -1 + 1

Combine like terms: -1 + 1 = 0
9 + 6x + x2 = 0

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

Subproblem 1

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

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 = {-3, -3}

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