2x^4=10x^3

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Solution for 2x^4=10x^3 equation:


Simplifying
2x4 = 10x3

Solving
2x4 = 10x3

Solving for variable 'x'.

Reorder the terms:
-10x3 + 2x4 = 10x3 + -10x3

Combine like terms: 10x3 + -10x3 = 0
-10x3 + 2x4 = 0

Factor out the Greatest Common Factor (GCF), '2x3'.
2x3(-5 + x) = 0

Ignore the factor 2.

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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5

Solution

x = {5}

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