(-x-3)(2x^2+5x+8)=0

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Solution for (-x-3)(2x^2+5x+8)=0 equation:


Simplifying
(-1x + -3)(2x2 + 5x + 8) = 0

Reorder the terms:
(-3 + -1x)(2x2 + 5x + 8) = 0

Reorder the terms:
(-3 + -1x)(8 + 5x + 2x2) = 0

Multiply (-3 + -1x) * (8 + 5x + 2x2)
(-3(8 + 5x + 2x2) + -1x * (8 + 5x + 2x2)) = 0
((8 * -3 + 5x * -3 + 2x2 * -3) + -1x * (8 + 5x + 2x2)) = 0
((-24 + -15x + -6x2) + -1x * (8 + 5x + 2x2)) = 0
(-24 + -15x + -6x2 + (8 * -1x + 5x * -1x + 2x2 * -1x)) = 0
(-24 + -15x + -6x2 + (-8x + -5x2 + -2x3)) = 0

Reorder the terms:
(-24 + -15x + -8x + -6x2 + -5x2 + -2x3) = 0

Combine like terms: -15x + -8x = -23x
(-24 + -23x + -6x2 + -5x2 + -2x3) = 0

Combine like terms: -6x2 + -5x2 = -11x2
(-24 + -23x + -11x2 + -2x3) = 0

Solving
-24 + -23x + -11x2 + -2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(24 + 23x + 11x2 + 2x3) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(24 + 23x + 11x2 + 2x3)' equal to zero and attempt to solve: Simplifying 24 + 23x + 11x2 + 2x3 = 0 Solving 24 + 23x + 11x2 + 2x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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