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Simplifying 25w3 + (-15w2) + 40w2 + (-24w) = 0 Reorder the terms: (-24w) + (-15w2) + 40w2 + 25w3 = 0 Combine like terms: (-15w2) + 40w2 = 25w2 (-24w) + 25w2 + 25w3 = 0 Solving (-24w) + 25w2 + 25w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(-24 + 25w + 25w2) = 0 Factor a trinomial. w((-8 + -5w)(3 + -5w)) = 0Subproblem 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 '(-8 + -5w)' equal to zero and attempt to solve: Simplifying -8 + -5w = 0 Solving -8 + -5w = 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 + -5w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5w = 0 + 8 -5w = 0 + 8 Combine like terms: 0 + 8 = 8 -5w = 8 Divide each side by '-5'. w = -1.6 Simplifying w = -1.6Subproblem 3
Set the factor '(3 + -5w)' equal to zero and attempt to solve: Simplifying 3 + -5w = 0 Solving 3 + -5w = 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 + -5w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5w = 0 + -3 -5w = 0 + -3 Combine like terms: 0 + -3 = -3 -5w = -3 Divide each side by '-5'. w = 0.6 Simplifying w = 0.6Solution
w = {0, -1.6, 0.6}
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