24=4x(x+4)10(x-1)

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Solution for 24=4x(x+4)10(x-1) equation: 


Simplifying
24 = 4x(x + 4) * 10(x + -1)

Reorder the terms:
24 = 4x(4 + x) * 10(x + -1)

Reorder the terms:
24 = 4x(4 + x) * 10(-1 + x)

Reorder the terms for easier multiplication:
24 = 4 * 10x(4 + x)(-1 + x)

Multiply 4 * 10
24 = 40x(4 + x)(-1 + x)

Multiply (4 + x) * (-1 + x)
24 = 40x(4(-1 + x) + x(-1 + x))
24 = 40x((-1 * 4 + x * 4) + x(-1 + x))
24 = 40x((-4 + 4x) + x(-1 + x))
24 = 40x(-4 + 4x + (-1 * x + x * x))
24 = 40x(-4 + 4x + (-1x + x2))

Combine like terms: 4x + -1x = 3x
24 = 40x(-4 + 3x + x2)
24 = (-4 * 40x + 3x * 40x + x2 * 40x)
24 = (-160x + 120x2 + 40x3)

Solving
24 = -160x + 120x2 + 40x3

Solving for variable 'x'.

Reorder the terms:
24 + 160x + -120x2 + -40x3 = -160x + 160x + 120x2 + -120x2 + 40x3 + -40x3

Combine like terms: -160x + 160x = 0
24 + 160x + -120x2 + -40x3 = 0 + 120x2 + -120x2 + 40x3 + -40x3
24 + 160x + -120x2 + -40x3 = 120x2 + -120x2 + 40x3 + -40x3

Combine like terms: 120x2 + -120x2 = 0
24 + 160x + -120x2 + -40x3 = 0 + 40x3 + -40x3
24 + 160x + -120x2 + -40x3 = 40x3 + -40x3

Combine like terms: 40x3 + -40x3 = 0
24 + 160x + -120x2 + -40x3 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(3 + 20x + -15x2 + -5x3) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(3 + 20x + -15x2 + -5x3)' equal to zero and attempt to solve:

Simplifying
3 + 20x + -15x2 + -5x3 = 0

Solving
3 + 20x + -15x2 + -5x3 = 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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