15w^8-6w^6=0

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Solution for 15w^8-6w^6=0 equation:


Simplifying
15w8 + -6w6 = 0

Reorder the terms:
-6w6 + 15w8 = 0

Solving
-6w6 + 15w8 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3w6'.
3w6(-2 + 5w2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'w6' equal to zero and attempt to solve: Simplifying w6 = 0 Solving w6 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w6 = 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 '(-2 + 5w2)' equal to zero and attempt to solve: Simplifying -2 + 5w2 = 0 Solving -2 + 5w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5w2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5w2 = 0 + 2 5w2 = 0 + 2 Combine like terms: 0 + 2 = 2 5w2 = 2 Divide each side by '5'. w2 = 0.4 Simplifying w2 = 0.4 Take the square root of each side: w = {-0.632455532, 0.632455532}

Solution

w = {-0.632455532, 0.632455532}

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