0=3(x+1)(x-4)(x+5)

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Solution for 0=3(x+1)(x-4)(x+5) equation: 


Simplifying
0 = 3(x + 1)(x + -4)(x + 5)

Reorder the terms:
0 = 3(1 + x)(x + -4)(x + 5)

Reorder the terms:
0 = 3(1 + x)(-4 + x)(x + 5)

Reorder the terms:
0 = 3(1 + x)(-4 + x)(5 + x)

Multiply (1 + x) * (-4 + x)
0 = 3(1(-4 + x) + x(-4 + x))(5 + x)
0 = 3((-4 * 1 + x * 1) + x(-4 + x))(5 + x)
0 = 3((-4 + 1x) + x(-4 + x))(5 + x)
0 = 3(-4 + 1x + (-4 * x + x * x))(5 + x)
0 = 3(-4 + 1x + (-4x + x2))(5 + x)

Combine like terms: 1x + -4x = -3x
0 = 3(-4 + -3x + x2)(5 + x)

Multiply (-4 + -3x + x2) * (5 + x)
0 = 3(-4(5 + x) + -3x * (5 + x) + x2(5 + x))
0 = 3((5 * -4 + x * -4) + -3x * (5 + x) + x2(5 + x))
0 = 3((-20 + -4x) + -3x * (5 + x) + x2(5 + x))
0 = 3(-20 + -4x + (5 * -3x + x * -3x) + x2(5 + x))
0 = 3(-20 + -4x + (-15x + -3x2) + x2(5 + x))
0 = 3(-20 + -4x + -15x + -3x2 + (5 * x2 + x * x2))
0 = 3(-20 + -4x + -15x + -3x2 + (5x2 + x3))

Combine like terms: -4x + -15x = -19x
0 = 3(-20 + -19x + -3x2 + 5x2 + x3)

Combine like terms: -3x2 + 5x2 = 2x2
0 = 3(-20 + -19x + 2x2 + x3)
0 = (-20 * 3 + -19x * 3 + 2x2 * 3 + x3 * 3)
0 = (-60 + -57x + 6x2 + 3x3)

Solving
0 = -60 + -57x + 6x2 + 3x3

Solving for variable 'x'.

Combine like terms: 0 + 60 = 60
60 + 57x + -6x2 + -3x3 = -60 + -57x + 6x2 + 3x3 + 60 + 57x + -6x2 + -3x3

Reorder the terms:
60 + 57x + -6x2 + -3x3 = -60 + 60 + -57x + 57x + 6x2 + -6x2 + 3x3 + -3x3

Combine like terms: -60 + 60 = 0
60 + 57x + -6x2 + -3x3 = 0 + -57x + 57x + 6x2 + -6x2 + 3x3 + -3x3
60 + 57x + -6x2 + -3x3 = -57x + 57x + 6x2 + -6x2 + 3x3 + -3x3

Combine like terms: -57x + 57x = 0
60 + 57x + -6x2 + -3x3 = 0 + 6x2 + -6x2 + 3x3 + -3x3
60 + 57x + -6x2 + -3x3 = 6x2 + -6x2 + 3x3 + -3x3

Combine like terms: 6x2 + -6x2 = 0
60 + 57x + -6x2 + -3x3 = 0 + 3x3 + -3x3
60 + 57x + -6x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
60 + 57x + -6x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(20 + 19x + -2x2 + -1x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(20 + 19x + -2x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
20 + 19x + -2x2 + -1x3 = 0

Solving
20 + 19x + -2x2 + -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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