5((X-1)*(X-1)*(X-1)*(X-1))=0

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Solution for 5((X-1)*(X-1)*(X-1)*(X-1))=0 equation: 


Simplifying
5((X + -1)(X + -1)(X + -1)(X + -1)) = 0

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

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

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

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

Multiply (-1 + X) * (-1 + X)
5((-1(-1 + X) + X(-1 + X))(-1 + X)(-1 + X)) = 0
5(((-1 * -1 + X * -1) + X(-1 + X))(-1 + X)(-1 + X)) = 0
5(((1 + -1X) + X(-1 + X))(-1 + X)(-1 + X)) = 0
5((1 + -1X + (-1 * X + X * X))(-1 + X)(-1 + X)) = 0
5((1 + -1X + (-1X + X2))(-1 + X)(-1 + X)) = 0

Combine like terms: -1X + -1X = -2X
5((1 + -2X + X2)(-1 + X)(-1 + X)) = 0

Multiply (1 + -2X + X2) * (-1 + X)
5((1(-1 + X) + -2X * (-1 + X) + X2(-1 + X))(-1 + X)) = 0
5(((-1 * 1 + X * 1) + -2X * (-1 + X) + X2(-1 + X))(-1 + X)) = 0
5(((-1 + 1X) + -2X * (-1 + X) + X2(-1 + X))(-1 + X)) = 0
5((-1 + 1X + (-1 * -2X + X * -2X) + X2(-1 + X))(-1 + X)) = 0
5((-1 + 1X + (2X + -2X2) + X2(-1 + X))(-1 + X)) = 0
5((-1 + 1X + 2X + -2X2 + (-1 * X2 + X * X2))(-1 + X)) = 0
5((-1 + 1X + 2X + -2X2 + (-1X2 + X3))(-1 + X)) = 0

Combine like terms: 1X + 2X = 3X
5((-1 + 3X + -2X2 + -1X2 + X3)(-1 + X)) = 0

Combine like terms: -2X2 + -1X2 = -3X2
5((-1 + 3X + -3X2 + X3)(-1 + X)) = 0

Multiply (-1 + 3X + -3X2 + X3) * (-1 + X)
5((-1(-1 + X) + 3X * (-1 + X) + -3X2 * (-1 + X) + X3(-1 + X))) = 0
5(((-1 * -1 + X * -1) + 3X * (-1 + X) + -3X2 * (-1 + X) + X3(-1 + X))) = 0
5(((1 + -1X) + 3X * (-1 + X) + -3X2 * (-1 + X) + X3(-1 + X))) = 0
5((1 + -1X + (-1 * 3X + X * 3X) + -3X2 * (-1 + X) + X3(-1 + X))) = 0
5((1 + -1X + (-3X + 3X2) + -3X2 * (-1 + X) + X3(-1 + X))) = 0
5((1 + -1X + -3X + 3X2 + (-1 * -3X2 + X * -3X2) + X3(-1 + X))) = 0
5((1 + -1X + -3X + 3X2 + (3X2 + -3X3) + X3(-1 + X))) = 0
5((1 + -1X + -3X + 3X2 + 3X2 + -3X3 + (-1 * X3 + X * X3))) = 0
5((1 + -1X + -3X + 3X2 + 3X2 + -3X3 + (-1X3 + X4))) = 0

Combine like terms: -1X + -3X = -4X
5((1 + -4X + 3X2 + 3X2 + -3X3 + -1X3 + X4)) = 0

Combine like terms: 3X2 + 3X2 = 6X2
5((1 + -4X + 6X2 + -3X3 + -1X3 + X4)) = 0

Combine like terms: -3X3 + -1X3 = -4X3
5((1 + -4X + 6X2 + -4X3 + X4)) = 0
(1 * 5 + -4X * 5 + 6X2 * 5 + -4X3 * 5 + X4 * 5) = 0
(5 + -20X + 30X2 + -20X3 + 5X4) = 0

Solving
5 + -20X + 30X2 + -20X3 + 5X4 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '5'.
5(1 + -4X + 6X2 + -4X3 + X4) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(1 + -4X + 6X2 + -4X3 + X4)' equal to zero and attempt to solve:

Simplifying
1 + -4X + 6X2 + -4X3 + X4 = 0

Solving
1 + -4X + 6X2 + -4X3 + X4 = 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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