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Simplifying 6w4 + 15w2 = 0 Reorder the terms: 15w2 + 6w4 = 0 Solving 15w2 + 6w4 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3w2'. 3w2(5 + 2w2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'w2' equal to zero and attempt to solve: Simplifying w2 = 0 Solving w2 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w2 = 0 Take the square root of each side: w = {0}Subproblem 2
Set the factor '(5 + 2w2)' equal to zero and attempt to solve: Simplifying 5 + 2w2 = 0 Solving 5 + 2w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2w2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2w2 = 0 + -5 2w2 = 0 + -5 Combine like terms: 0 + -5 = -5 2w2 = -5 Divide each side by '2'. w2 = -2.5 Simplifying w2 = -2.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
w = {0}
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