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

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


Simplifying
x4 + -5x3 + 3x4 + x3 = 0

Reorder the terms:
-5x3 + x3 + x4 + 3x4 = 0

Combine like terms: -5x3 + x3 = -4x3
-4x3 + x4 + 3x4 = 0

Combine like terms: x4 + 3x4 = 4x4
-4x3 + 4x4 = 0

Solving
-4x3 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x3'.
4x3(-1 + x) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1

Solution

x = {1}

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