(5x-4)(3x+5)(6x-12)=

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Solution for (5x-4)(3x+5)(6x-12)= equation: 


Simplifying
(5x + -4)(3x + 5)(6x + -12) = 0

Reorder the terms:
(-4 + 5x)(3x + 5)(6x + -12) = 0

Reorder the terms:
(-4 + 5x)(5 + 3x)(6x + -12) = 0

Reorder the terms:
(-4 + 5x)(5 + 3x)(-12 + 6x) = 0

Multiply (-4 + 5x) * (5 + 3x)
(-4(5 + 3x) + 5x * (5 + 3x))(-12 + 6x) = 0
((5 * -4 + 3x * -4) + 5x * (5 + 3x))(-12 + 6x) = 0
((-20 + -12x) + 5x * (5 + 3x))(-12 + 6x) = 0
(-20 + -12x + (5 * 5x + 3x * 5x))(-12 + 6x) = 0
(-20 + -12x + (25x + 15x2))(-12 + 6x) = 0

Combine like terms: -12x + 25x = 13x
(-20 + 13x + 15x2)(-12 + 6x) = 0

Multiply (-20 + 13x + 15x2) * (-12 + 6x)
(-20(-12 + 6x) + 13x * (-12 + 6x) + 15x2 * (-12 + 6x)) = 0
((-12 * -20 + 6x * -20) + 13x * (-12 + 6x) + 15x2 * (-12 + 6x)) = 0
((240 + -120x) + 13x * (-12 + 6x) + 15x2 * (-12 + 6x)) = 0
(240 + -120x + (-12 * 13x + 6x * 13x) + 15x2 * (-12 + 6x)) = 0
(240 + -120x + (-156x + 78x2) + 15x2 * (-12 + 6x)) = 0
(240 + -120x + -156x + 78x2 + (-12 * 15x2 + 6x * 15x2)) = 0
(240 + -120x + -156x + 78x2 + (-180x2 + 90x3)) = 0

Combine like terms: -120x + -156x = -276x
(240 + -276x + 78x2 + -180x2 + 90x3) = 0

Combine like terms: 78x2 + -180x2 = -102x2
(240 + -276x + -102x2 + 90x3) = 0

Solving
240 + -276x + -102x2 + 90x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(40 + -46x + -17x2 + 15x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(40 + -46x + -17x2 + 15x3)' equal to zero and attempt to solve:

Simplifying
40 + -46x + -17x2 + 15x3 = 0

Solving
40 + -46x + -17x2 + 15x3 = 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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