24w^3-9w=0

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Solution for 24w^3-9w=0 equation:


Simplifying
24w3 + -9w = 0

Reorder the terms:
-9w + 24w3 = 0

Solving
-9w + 24w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3w'.
3w(-3 + 8w2) = 0

Ignore the factor 3.

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 '(-3 + 8w2)' equal to zero and attempt to solve: Simplifying -3 + 8w2 = 0 Solving -3 + 8w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8w2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8w2 = 0 + 3 8w2 = 0 + 3 Combine like terms: 0 + 3 = 3 8w2 = 3 Divide each side by '8'. w2 = 0.375 Simplifying w2 = 0.375 Take the square root of each side: w = {-0.612372436, 0.612372436}

Solution

w = {0, -0.612372436, 0.612372436}

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