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Simplifying 4w2 + -200w + 1600 = 0 Reorder the terms: 1600 + -200w + 4w2 = 0 Solving 1600 + -200w + 4w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4'. 4(400 + -50w + w2) = 0 Factor a trinomial. 4((10 + -1w)(40 + -1w)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(10 + -1w)' equal to zero and attempt to solve: Simplifying 10 + -1w = 0 Solving 10 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1w = 0 + -10 -1w = 0 + -10 Combine like terms: 0 + -10 = -10 -1w = -10 Divide each side by '-1'. w = 10 Simplifying w = 10Subproblem 2
Set the factor '(40 + -1w)' equal to zero and attempt to solve: Simplifying 40 + -1w = 0 Solving 40 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1w = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1w = 0 + -40 -1w = 0 + -40 Combine like terms: 0 + -40 = -40 -1w = -40 Divide each side by '-1'. w = 40 Simplifying w = 40Solution
w = {10, 40}
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