7x^4=21x^3

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Solution for 7x^4=21x^3 equation:


Simplifying
7x4 = 21x3

Solving
7x4 = 21x3

Solving for variable 'x'.

Reorder the terms:
-21x3 + 7x4 = 21x3 + -21x3

Combine like terms: 21x3 + -21x3 = 0
-21x3 + 7x4 = 0

Factor out the Greatest Common Factor (GCF), '7x3'.
7x3(-3 + x) = 0

Ignore the factor 7.

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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3

Solution

x = {3}

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