(2x-6)(x+4)(5-x)=0

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Solution for (2x-6)(x+4)(5-x)=0 equation:


Simplifying
(2x + -6)(x + 4)(5 + -1x) = 0

Reorder the terms:
(-6 + 2x)(x + 4)(5 + -1x) = 0

Reorder the terms:
(-6 + 2x)(4 + x)(5 + -1x) = 0

Multiply (-6 + 2x) * (4 + x)
(-6(4 + x) + 2x * (4 + x))(5 + -1x) = 0
((4 * -6 + x * -6) + 2x * (4 + x))(5 + -1x) = 0
((-24 + -6x) + 2x * (4 + x))(5 + -1x) = 0
(-24 + -6x + (4 * 2x + x * 2x))(5 + -1x) = 0
(-24 + -6x + (8x + 2x2))(5 + -1x) = 0

Combine like terms: -6x + 8x = 2x
(-24 + 2x + 2x2)(5 + -1x) = 0

Multiply (-24 + 2x + 2x2) * (5 + -1x)
(-24(5 + -1x) + 2x * (5 + -1x) + 2x2 * (5 + -1x)) = 0
((5 * -24 + -1x * -24) + 2x * (5 + -1x) + 2x2 * (5 + -1x)) = 0
((-120 + 24x) + 2x * (5 + -1x) + 2x2 * (5 + -1x)) = 0
(-120 + 24x + (5 * 2x + -1x * 2x) + 2x2 * (5 + -1x)) = 0
(-120 + 24x + (10x + -2x2) + 2x2 * (5 + -1x)) = 0
(-120 + 24x + 10x + -2x2 + (5 * 2x2 + -1x * 2x2)) = 0
(-120 + 24x + 10x + -2x2 + (10x2 + -2x3)) = 0

Combine like terms: 24x + 10x = 34x
(-120 + 34x + -2x2 + 10x2 + -2x3) = 0

Combine like terms: -2x2 + 10x2 = 8x2
(-120 + 34x + 8x2 + -2x3) = 0

Solving
-120 + 34x + 8x2 + -2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-60 + 17x + 4x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-60 + 17x + 4x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-60 + 17x + 4x2 + -1x3 = 0

Solving
-60 + 17x + 4x2 + -1x3 = 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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