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Simplifying 12w2 + 15w + 0 = 0 Reorder the terms: 0 + 15w + 12w2 = 0 Remove the zero: 15w + 12w2 = 0 Solving 15w + 12w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3w'. 3w(5 + 4w) = 0 Ignore the factor 3.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 '(5 + 4w)' equal to zero and attempt to solve: Simplifying 5 + 4w = 0 Solving 5 + 4w = 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 + 4w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4w = 0 + -5 4w = 0 + -5 Combine like terms: 0 + -5 = -5 4w = -5 Divide each side by '4'. w = -1.25 Simplifying w = -1.25Solution
w = {0, -1.25}
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