x^2+8x+7x+56=0

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Solution for x^2+8x+7x+56=0 equation:


Simplifying
x2 + 8x + 7x + 56 = 0

Reorder the terms:
56 + 8x + 7x + x2 = 0

Combine like terms: 8x + 7x = 15x
56 + 15x + x2 = 0

Solving
56 + 15x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + x)(7 + x) = 0

Subproblem 1

Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Solution

x = {-8, -7}

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