(x-1)(5x^4-7x^3+x)=0

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Solution for (x-1)(5x^4-7x^3+x)=0 equation: 


Simplifying
(x + -1)(5x4 + -7x3 + x) = 0

Reorder the terms:
(-1 + x)(5x4 + -7x3 + x) = 0

Reorder the terms:
(-1 + x)(x + -7x3 + 5x4) = 0

Multiply (-1 + x) * (x + -7x3 + 5x4)
(-1(x + -7x3 + 5x4) + x(x + -7x3 + 5x4)) = 0
((x * -1 + -7x3 * -1 + 5x4 * -1) + x(x + -7x3 + 5x4)) = 0
((-1x + 7x3 + -5x4) + x(x + -7x3 + 5x4)) = 0
(-1x + 7x3 + -5x4 + (x * x + -7x3 * x + 5x4 * x)) = 0
(-1x + 7x3 + -5x4 + (x2 + -7x4 + 5x5)) = 0

Reorder the terms:
(-1x + x2 + 7x3 + -5x4 + -7x4 + 5x5) = 0

Combine like terms: -5x4 + -7x4 = -12x4
(-1x + x2 + 7x3 + -12x4 + 5x5) = 0

Solving
-1x + x2 + 7x3 + -12x4 + 5x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + x + 7x2 + -12x3 + 5x4) = 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 '(-1 + x + 7x2 + -12x3 + 5x4)' equal to zero and attempt to solve:

Simplifying
-1 + x + 7x2 + -12x3 + 5x4 = 0

Solving
-1 + x + 7x2 + -12x3 + 5x4 = 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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