(-24x^2+36x-12)(5x-1)=

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Solution for (-24x^2+36x-12)(5x-1)= equation:


Simplifying
(-24x2 + 36x + -12)(5x + -1) = 0

Reorder the terms:
(-12 + 36x + -24x2)(5x + -1) = 0

Reorder the terms:
(-12 + 36x + -24x2)(-1 + 5x) = 0

Multiply (-12 + 36x + -24x2) * (-1 + 5x)
(-12(-1 + 5x) + 36x * (-1 + 5x) + -24x2 * (-1 + 5x)) = 0
((-1 * -12 + 5x * -12) + 36x * (-1 + 5x) + -24x2 * (-1 + 5x)) = 0
((12 + -60x) + 36x * (-1 + 5x) + -24x2 * (-1 + 5x)) = 0
(12 + -60x + (-1 * 36x + 5x * 36x) + -24x2 * (-1 + 5x)) = 0
(12 + -60x + (-36x + 180x2) + -24x2 * (-1 + 5x)) = 0
(12 + -60x + -36x + 180x2 + (-1 * -24x2 + 5x * -24x2)) = 0
(12 + -60x + -36x + 180x2 + (24x2 + -120x3)) = 0

Combine like terms: -60x + -36x = -96x
(12 + -96x + 180x2 + 24x2 + -120x3) = 0

Combine like terms: 180x2 + 24x2 = 204x2
(12 + -96x + 204x2 + -120x3) = 0

Solving
12 + -96x + 204x2 + -120x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(1 + -8x + 17x2 + -10x3) = 0

Ignore the factor 12.

Subproblem 1

Set the factor '(1 + -8x + 17x2 + -10x3)' equal to zero and attempt to solve: Simplifying 1 + -8x + 17x2 + -10x3 = 0 Solving 1 + -8x + 17x2 + -10x3 = 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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