(x+4)*(x+1)*(x)*(x-7)=0

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Solution for (x+4)*(x+1)*(x)*(x-7)=0 equation: 


Simplifying
(x + 4)(x + 1)(x)(x + -7) = 0

Reorder the terms:
(4 + x)(x + 1)(x)(x + -7) = 0

Reorder the terms:
(4 + x)(1 + x)(x)(x + -7) = 0

Reorder the terms:
(4 + x)(1 + x) * x(-7 + x) = 0

Reorder the terms for easier multiplication:
x(4 + x)(1 + x)(-7 + x) = 0

Multiply (4 + x) * (1 + x)
x(4(1 + x) + x(1 + x))(-7 + x) = 0
x((1 * 4 + x * 4) + x(1 + x))(-7 + x) = 0
x((4 + 4x) + x(1 + x))(-7 + x) = 0
x(4 + 4x + (1 * x + x * x))(-7 + x) = 0
x(4 + 4x + (1x + x2))(-7 + x) = 0

Combine like terms: 4x + 1x = 5x
x(4 + 5x + x2)(-7 + x) = 0

Multiply (4 + 5x + x2) * (-7 + x)
x(4(-7 + x) + 5x * (-7 + x) + x2(-7 + x)) = 0
x((-7 * 4 + x * 4) + 5x * (-7 + x) + x2(-7 + x)) = 0
x((-28 + 4x) + 5x * (-7 + x) + x2(-7 + x)) = 0
x(-28 + 4x + (-7 * 5x + x * 5x) + x2(-7 + x)) = 0
x(-28 + 4x + (-35x + 5x2) + x2(-7 + x)) = 0
x(-28 + 4x + -35x + 5x2 + (-7 * x2 + x * x2)) = 0
x(-28 + 4x + -35x + 5x2 + (-7x2 + x3)) = 0

Combine like terms: 4x + -35x = -31x
x(-28 + -31x + 5x2 + -7x2 + x3) = 0

Combine like terms: 5x2 + -7x2 = -2x2
x(-28 + -31x + -2x2 + x3) = 0
(-28 * x + -31x * x + -2x2 * x + x3 * x) = 0
(-28x + -31x2 + -2x3 + x4) = 0

Solving
-28x + -31x2 + -2x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-28 + -31x + -2x2 + 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 '(-28 + -31x + -2x2 + x3)' equal to zero and attempt to solve:

Simplifying
-28 + -31x + -2x2 + x3 = 0

Solving
-28 + -31x + -2x2 + 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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