5x^4=20x^3

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Solution for 5x^4=20x^3 equation:


Simplifying
5x4 = 20x3

Solving
5x4 = 20x3

Solving for variable 'x'.

Reorder the terms:
-20x3 + 5x4 = 20x3 + -20x3

Combine like terms: 20x3 + -20x3 = 0
-20x3 + 5x4 = 0

Factor out the Greatest Common Factor (GCF), '5x3'.
5x3(-4 + x) = 0

Ignore the factor 5.

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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4

Solution

x = {4}

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