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Simplifying 4w + -6w3 = 0 Solving 4w + -6w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w'. 2w(2 + -3w2) = 0 Ignore the factor 2.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 = 0Subproblem 2
Set the factor '(2 + -3w2)' equal to zero and attempt to solve: Simplifying 2 + -3w2 = 0 Solving 2 + -3w2 = 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 + -3w2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3w2 = 0 + -2 -3w2 = 0 + -2 Combine like terms: 0 + -2 = -2 -3w2 = -2 Divide each side by '-3'. w2 = 0.6666666667 Simplifying w2 = 0.6666666667 Take the square root of each side: w = {-0.816496581, 0.816496581}Solution
w = {0, -0.816496581, 0.816496581}
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