4x^5=84x^3

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Solution for 4x^5=84x^3 equation:


Simplifying
4x5 = 84x3

Solving
4x5 = 84x3

Solving for variable 'x'.

Reorder the terms:
-84x3 + 4x5 = 84x3 + -84x3

Combine like terms: 84x3 + -84x3 = 0
-84x3 + 4x5 = 0

Factor out the Greatest Common Factor (GCF), '4x3'.
4x3(-21 + x2) = 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 '(-21 + x2)' equal to zero and attempt to solve: Simplifying -21 + x2 = 0 Solving -21 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + x2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + x2 = 0 + 21 x2 = 0 + 21 Combine like terms: 0 + 21 = 21 x2 = 21 Simplifying x2 = 21 Take the square root of each side: x = {-4.582575695, 4.582575695}

Solution

x = {-4.582575695, 4.582575695}

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