15(x-2)(x+3)(x-4)=0

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Solution for 15(x-2)(x+3)(x-4)=0 equation: 


Simplifying
15(x + -2)(x + 3)(x + -4) = 0

Reorder the terms:
15(-2 + x)(x + 3)(x + -4) = 0

Reorder the terms:
15(-2 + x)(3 + x)(x + -4) = 0

Reorder the terms:
15(-2 + x)(3 + x)(-4 + x) = 0

Multiply (-2 + x) * (3 + x)
15(-2(3 + x) + x(3 + x))(-4 + x) = 0
15((3 * -2 + x * -2) + x(3 + x))(-4 + x) = 0
15((-6 + -2x) + x(3 + x))(-4 + x) = 0
15(-6 + -2x + (3 * x + x * x))(-4 + x) = 0
15(-6 + -2x + (3x + x2))(-4 + x) = 0

Combine like terms: -2x + 3x = 1x
15(-6 + 1x + x2)(-4 + x) = 0

Multiply (-6 + 1x + x2) * (-4 + x)
15(-6(-4 + x) + 1x * (-4 + x) + x2(-4 + x)) = 0
15((-4 * -6 + x * -6) + 1x * (-4 + x) + x2(-4 + x)) = 0
15((24 + -6x) + 1x * (-4 + x) + x2(-4 + x)) = 0
15(24 + -6x + (-4 * 1x + x * 1x) + x2(-4 + x)) = 0
15(24 + -6x + (-4x + 1x2) + x2(-4 + x)) = 0
15(24 + -6x + -4x + 1x2 + (-4 * x2 + x * x2)) = 0
15(24 + -6x + -4x + 1x2 + (-4x2 + x3)) = 0

Combine like terms: -6x + -4x = -10x
15(24 + -10x + 1x2 + -4x2 + x3) = 0

Combine like terms: 1x2 + -4x2 = -3x2
15(24 + -10x + -3x2 + x3) = 0
(24 * 15 + -10x * 15 + -3x2 * 15 + x3 * 15) = 0
(360 + -150x + -45x2 + 15x3) = 0

Solving
360 + -150x + -45x2 + 15x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '15'.
15(24 + -10x + -3x2 + x3) = 0

Ignore the factor 15.

Subproblem 1
Set the factor '(24 + -10x + -3x2 + x3)' equal to zero and attempt to solve:

Simplifying
24 + -10x + -3x2 + x3 = 0

Solving
24 + -10x + -3x2 + 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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