(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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