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

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


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

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

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

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

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

Reorder the terms for easier multiplication:
x(1 + x)(5 + x)(4 + x) = 0

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

Combine like terms: 1x + 5x = 6x
x(5 + 6x + x2)(4 + x) = 0

Multiply (5 + 6x + x2) * (4 + x)
x(5(4 + x) + 6x * (4 + x) + x2(4 + x)) = 0
x((4 * 5 + x * 5) + 6x * (4 + x) + x2(4 + x)) = 0
x((20 + 5x) + 6x * (4 + x) + x2(4 + x)) = 0
x(20 + 5x + (4 * 6x + x * 6x) + x2(4 + x)) = 0
x(20 + 5x + (24x + 6x2) + x2(4 + x)) = 0
x(20 + 5x + 24x + 6x2 + (4 * x2 + x * x2)) = 0
x(20 + 5x + 24x + 6x2 + (4x2 + x3)) = 0

Combine like terms: 5x + 24x = 29x
x(20 + 29x + 6x2 + 4x2 + x3) = 0

Combine like terms: 6x2 + 4x2 = 10x2
x(20 + 29x + 10x2 + x3) = 0
(20 * x + 29x * x + 10x2 * x + x3 * x) = 0
(20x + 29x2 + 10x3 + x4) = 0

Solving
20x + 29x2 + 10x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(20 + 29x + 10x2 + x3) = 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 + 29x + 10x2 + x3)' equal to zero and attempt to solve: Simplifying 20 + 29x + 10x2 + x3 = 0 Solving 20 + 29x + 10x2 + x3 = 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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