x^2+8x+7=-8

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Solution for x^2+8x+7=-8 equation:


Simplifying
x2 + 8x + 7 = -8

Reorder the terms:
7 + 8x + x2 = -8

Solving
7 + 8x + x2 = -8

Solving for variable 'x'.

Reorder the terms:
7 + 8 + 8x + x2 = -8 + 8

Combine like terms: 7 + 8 = 15
15 + 8x + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
15 + 8x + x2 = 0

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

Subproblem 1

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

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 = {-5, -3}

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