2w^5-10w^3=0

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Solution for 2w^5-10w^3=0 equation:


Simplifying
2w5 + -10w3 = 0

Reorder the terms:
-10w3 + 2w5 = 0

Solving
-10w3 + 2w5 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2w3'.
2w3(-5 + w2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'w3' equal to zero and attempt to solve: Simplifying w3 = 0 Solving w3 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w3 = 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 + w2)' equal to zero and attempt to solve: Simplifying -5 + w2 = 0 Solving -5 + w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + w2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + w2 = 0 + 5 w2 = 0 + 5 Combine like terms: 0 + 5 = 5 w2 = 5 Simplifying w2 = 5 Take the square root of each side: w = {-2.236067978, 2.236067978}

Solution

w = {-2.236067978, 2.236067978}

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