3w^3(7w^2-8)=0

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Solution for 3w^3(7w^2-8)=0 equation:


Simplifying
3w3(7w2 + -8) = 0

Reorder the terms:
3w3(-8 + 7w2) = 0
(-8 * 3w3 + 7w2 * 3w3) = 0
(-24w3 + 21w5) = 0

Solving
-24w3 + 21w5 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3w3'.
3w3(-8 + 7w2) = 0

Ignore the factor 3.

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 '(-8 + 7w2)' equal to zero and attempt to solve: Simplifying -8 + 7w2 = 0 Solving -8 + 7w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7w2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7w2 = 0 + 8 7w2 = 0 + 8 Combine like terms: 0 + 8 = 8 7w2 = 8 Divide each side by '7'. w2 = 1.142857143 Simplifying w2 = 1.142857143 Take the square root of each side: w = {-1.069044968, 1.069044968}

Solution

w = {-1.069044968, 1.069044968}

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