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Simplifying 10w2 + -4w + 3w2 = 0 Reorder the terms: -4w + 10w2 + 3w2 = 0 Combine like terms: 10w2 + 3w2 = 13w2 -4w + 13w2 = 0 Solving -4w + 13w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(-4 + 13w) = 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 '(-4 + 13w)' equal to zero and attempt to solve: Simplifying -4 + 13w = 0 Solving -4 + 13w = 0 Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 13w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 13w = 0 + 4 13w = 0 + 4 Combine like terms: 0 + 4 = 4 13w = 4 Divide each side by '13'. w = 0.3076923077 Simplifying w = 0.3076923077Solution
w = {0, 0.3076923077}
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