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Simplifying 3w2 + 22w2 + 24w = 0 Reorder the terms: 24w + 3w2 + 22w2 = 0 Combine like terms: 3w2 + 22w2 = 25w2 24w + 25w2 = 0 Solving 24w + 25w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(24 + 25w) = 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 '(24 + 25w)' equal to zero and attempt to solve: Simplifying 24 + 25w = 0 Solving 24 + 25w = 0 Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 25w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 25w = 0 + -24 25w = 0 + -24 Combine like terms: 0 + -24 = -24 25w = -24 Divide each side by '25'. w = -0.96 Simplifying w = -0.96Solution
w = {0, -0.96}
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