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

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


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

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

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

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

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

Multiply (4 + x) * (5 + x)
x(4(5 + x) + x(5 + x))(-1 + x)(1 + x) = 0
x((5 * 4 + x * 4) + x(5 + x))(-1 + x)(1 + x) = 0
x((20 + 4x) + x(5 + x))(-1 + x)(1 + x) = 0
x(20 + 4x + (5 * x + x * x))(-1 + x)(1 + x) = 0
x(20 + 4x + (5x + x2))(-1 + x)(1 + x) = 0

Combine like terms: 4x + 5x = 9x
x(20 + 9x + x2)(-1 + x)(1 + x) = 0

Multiply (20 + 9x + x2) * (-1 + x)
x(20(-1 + x) + 9x * (-1 + x) + x2(-1 + x))(1 + x) = 0
x((-1 * 20 + x * 20) + 9x * (-1 + x) + x2(-1 + x))(1 + x) = 0
x((-20 + 20x) + 9x * (-1 + x) + x2(-1 + x))(1 + x) = 0
x(-20 + 20x + (-1 * 9x + x * 9x) + x2(-1 + x))(1 + x) = 0
x(-20 + 20x + (-9x + 9x2) + x2(-1 + x))(1 + x) = 0
x(-20 + 20x + -9x + 9x2 + (-1 * x2 + x * x2))(1 + x) = 0
x(-20 + 20x + -9x + 9x2 + (-1x2 + x3))(1 + x) = 0

Combine like terms: 20x + -9x = 11x
x(-20 + 11x + 9x2 + -1x2 + x3)(1 + x) = 0

Combine like terms: 9x2 + -1x2 = 8x2
x(-20 + 11x + 8x2 + x3)(1 + x) = 0

Multiply (-20 + 11x + 8x2 + x3) * (1 + x)
x(-20(1 + x) + 11x * (1 + x) + 8x2 * (1 + x) + x3(1 + x)) = 0
x((1 * -20 + x * -20) + 11x * (1 + x) + 8x2 * (1 + x) + x3(1 + x)) = 0
x((-20 + -20x) + 11x * (1 + x) + 8x2 * (1 + x) + x3(1 + x)) = 0
x(-20 + -20x + (1 * 11x + x * 11x) + 8x2 * (1 + x) + x3(1 + x)) = 0
x(-20 + -20x + (11x + 11x2) + 8x2 * (1 + x) + x3(1 + x)) = 0
x(-20 + -20x + 11x + 11x2 + (1 * 8x2 + x * 8x2) + x3(1 + x)) = 0
x(-20 + -20x + 11x + 11x2 + (8x2 + 8x3) + x3(1 + x)) = 0
x(-20 + -20x + 11x + 11x2 + 8x2 + 8x3 + (1 * x3 + x * x3)) = 0
x(-20 + -20x + 11x + 11x2 + 8x2 + 8x3 + (1x3 + x4)) = 0

Combine like terms: -20x + 11x = -9x
x(-20 + -9x + 11x2 + 8x2 + 8x3 + 1x3 + x4) = 0

Combine like terms: 11x2 + 8x2 = 19x2
x(-20 + -9x + 19x2 + 8x3 + 1x3 + x4) = 0

Combine like terms: 8x3 + 1x3 = 9x3
x(-20 + -9x + 19x2 + 9x3 + x4) = 0
(-20 * x + -9x * x + 19x2 * x + 9x3 * x + x4 * x) = 0
(-20x + -9x2 + 19x3 + 9x4 + x5) = 0

Solving
-20x + -9x2 + 19x3 + 9x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-20 + -9x + 19x2 + 9x3 + x4) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-20 + -9x + 19x2 + 9x3 + x4)' equal to zero and attempt to solve:

Simplifying
-20 + -9x + 19x2 + 9x3 + x4 = 0

Solving
-20 + -9x + 19x2 + 9x3 + x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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