5(x^2+x-12)(x-8)=0

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Solution for 5(x^2+x-12)(x-8)=0 equation:


Simplifying
5(x2 + x + -12)(x + -8) = 0

Reorder the terms:
5(-12 + x + x2)(x + -8) = 0

Reorder the terms:
5(-12 + x + x2)(-8 + x) = 0

Multiply (-12 + x + x2) * (-8 + x)
5(-12(-8 + x) + x(-8 + x) + x2(-8 + x)) = 0
5((-8 * -12 + x * -12) + x(-8 + x) + x2(-8 + x)) = 0
5((96 + -12x) + x(-8 + x) + x2(-8 + x)) = 0
5(96 + -12x + (-8 * x + x * x) + x2(-8 + x)) = 0
5(96 + -12x + (-8x + x2) + x2(-8 + x)) = 0
5(96 + -12x + -8x + x2 + (-8 * x2 + x * x2)) = 0
5(96 + -12x + -8x + x2 + (-8x2 + x3)) = 0

Combine like terms: -12x + -8x = -20x
5(96 + -20x + x2 + -8x2 + x3) = 0

Combine like terms: x2 + -8x2 = -7x2
5(96 + -20x + -7x2 + x3) = 0
(96 * 5 + -20x * 5 + -7x2 * 5 + x3 * 5) = 0
(480 + -100x + -35x2 + 5x3) = 0

Solving
480 + -100x + -35x2 + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(96 + -20x + -7x2 + x3) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(96 + -20x + -7x2 + x3)' equal to zero and attempt to solve: Simplifying 96 + -20x + -7x2 + x3 = 0 Solving 96 + -20x + -7x2 + x3 = 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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