x^5-x^4+x^3=x^2

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Solution for x^5-x^4+x^3=x^2 equation:


Simplifying
x5 + -1x4 + x3 = x2

Reorder the terms:
x3 + -1x4 + x5 = x2

Solving
x3 + -1x4 + x5 = x2

Solving for variable 'x'.

Reorder the terms:
-1x2 + x3 + -1x4 + x5 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1x2 + x3 + -1x4 + x5 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-1 + x + -1x2 + x3) = 0

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(-1 + x + -1x2 + x3)' equal to zero and attempt to solve: Simplifying -1 + x + -1x2 + x3 = 0 Solving -1 + x + -1x2 + 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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