8x^2+35x+32=-5x

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Solution for 8x^2+35x+32=-5x equation:


Simplifying
8x2 + 35x + 32 = -5x

Reorder the terms:
32 + 35x + 8x2 = -5x

Solving
32 + 35x + 8x2 = -5x

Solving for variable 'x'.

Reorder the terms:
32 + 35x + 5x + 8x2 = -5x + 5x

Combine like terms: 35x + 5x = 40x
32 + 40x + 8x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
32 + 40x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(4 + 5x + x2) = 0

Factor a trinomial.
8((4 + x)(1 + x)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

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 = {-4, -1}

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