(6x+2)(x+4)(6x-15)=4320

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Solution for (6x+2)(x+4)(6x-15)=4320 equation: 


Simplifying
(6x + 2)(x + 4)(6x + -15) = 4320

Reorder the terms:
(2 + 6x)(x + 4)(6x + -15) = 4320

Reorder the terms:
(2 + 6x)(4 + x)(6x + -15) = 4320

Reorder the terms:
(2 + 6x)(4 + x)(-15 + 6x) = 4320

Multiply (2 + 6x) * (4 + x)
(2(4 + x) + 6x * (4 + x))(-15 + 6x) = 4320
((4 * 2 + x * 2) + 6x * (4 + x))(-15 + 6x) = 4320
((8 + 2x) + 6x * (4 + x))(-15 + 6x) = 4320
(8 + 2x + (4 * 6x + x * 6x))(-15 + 6x) = 4320
(8 + 2x + (24x + 6x2))(-15 + 6x) = 4320

Combine like terms: 2x + 24x = 26x
(8 + 26x + 6x2)(-15 + 6x) = 4320

Multiply (8 + 26x + 6x2) * (-15 + 6x)
(8(-15 + 6x) + 26x * (-15 + 6x) + 6x2 * (-15 + 6x)) = 4320
((-15 * 8 + 6x * 8) + 26x * (-15 + 6x) + 6x2 * (-15 + 6x)) = 4320
((-120 + 48x) + 26x * (-15 + 6x) + 6x2 * (-15 + 6x)) = 4320
(-120 + 48x + (-15 * 26x + 6x * 26x) + 6x2 * (-15 + 6x)) = 4320
(-120 + 48x + (-390x + 156x2) + 6x2 * (-15 + 6x)) = 4320
(-120 + 48x + -390x + 156x2 + (-15 * 6x2 + 6x * 6x2)) = 4320
(-120 + 48x + -390x + 156x2 + (-90x2 + 36x3)) = 4320

Combine like terms: 48x + -390x = -342x
(-120 + -342x + 156x2 + -90x2 + 36x3) = 4320

Combine like terms: 156x2 + -90x2 = 66x2
(-120 + -342x + 66x2 + 36x3) = 4320

Solving
-120 + -342x + 66x2 + 36x3 = 4320

Solving for variable 'x'.

Reorder the terms:
-120 + -4320 + -342x + 66x2 + 36x3 = 4320 + -4320

Combine like terms: -120 + -4320 = -4440
-4440 + -342x + 66x2 + 36x3 = 4320 + -4320

Combine like terms: 4320 + -4320 = 0
-4440 + -342x + 66x2 + 36x3 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-740 + -57x + 11x2 + 6x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-740 + -57x + 11x2 + 6x3)' equal to zero and attempt to solve:

Simplifying
-740 + -57x + 11x2 + 6x3 = 0

Solving
-740 + -57x + 11x2 + 6x3 = 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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