81w^3-100w=0

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Solution for 81w^3-100w=0 equation:


Simplifying
81w3 + -100w = 0

Reorder the terms:
-100w + 81w3 = 0

Solving
-100w + 81w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(-100 + 81w2) = 0

Factor a difference between two squares.
w((10 + 9w)(-10 + 9w)) = 0

Subproblem 1

Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0

Subproblem 2

Set the factor '(10 + 9w)' equal to zero and attempt to solve: Simplifying 10 + 9w = 0 Solving 10 + 9w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9w = 0 + -10 9w = 0 + -10 Combine like terms: 0 + -10 = -10 9w = -10 Divide each side by '9'. w = -1.111111111 Simplifying w = -1.111111111

Subproblem 3

Set the factor '(-10 + 9w)' equal to zero and attempt to solve: Simplifying -10 + 9w = 0 Solving -10 + 9w = 0 Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 9w = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 9w = 0 + 10 9w = 0 + 10 Combine like terms: 0 + 10 = 10 9w = 10 Divide each side by '9'. w = 1.111111111 Simplifying w = 1.111111111

Solution

w = {0, -1.111111111, 1.111111111}

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