r^4-3r^3+3r-r=0

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Solution for r^4-3r^3+3r-r=0 equation:


Simplifying
r4 + -3r3 + 3r + -1r = 0

Reorder the terms:
3r + -1r + -3r3 + r4 = 0

Combine like terms: 3r + -1r = 2r
2r + -3r3 + r4 = 0

Solving
2r + -3r3 + r4 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(2 + -3r2 + r3) = 0

Subproblem 1

Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0

Subproblem 2

Set the factor '(2 + -3r2 + r3)' equal to zero and attempt to solve: Simplifying 2 + -3r2 + r3 = 0 Solving 2 + -3r2 + r3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

r = {0}

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