16w^9-32w^7=0

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Solution for 16w^9-32w^7=0 equation:


Simplifying
16w9 + -32w7 = 0

Reorder the terms:
-32w7 + 16w9 = 0

Solving
-32w7 + 16w9 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '16w7'.
16w7(-2 + w2) = 0

Ignore the factor 16.

Subproblem 1

Set the factor 'w7' equal to zero and attempt to solve: Simplifying w7 = 0 Solving w7 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w7 = 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 + w2)' equal to zero and attempt to solve: Simplifying -2 + w2 = 0 Solving -2 + w2 = 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 + w2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + w2 = 0 + 2 w2 = 0 + 2 Combine like terms: 0 + 2 = 2 w2 = 2 Simplifying w2 = 2 Take the square root of each side: w = {-1.414213562, 1.414213562}

Solution

w = {-1.414213562, 1.414213562}

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