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Simplifying 2w2 + -180w + 2800 = 0 Reorder the terms: 2800 + -180w + 2w2 = 0 Solving 2800 + -180w + 2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(1400 + -90w + w2) = 0 Factor a trinomial. 2((20 + -1w)(70 + -1w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(20 + -1w)' equal to zero and attempt to solve: Simplifying 20 + -1w = 0 Solving 20 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1w = 0 + -20 -1w = 0 + -20 Combine like terms: 0 + -20 = -20 -1w = -20 Divide each side by '-1'. w = 20 Simplifying w = 20Subproblem 2
Set the factor '(70 + -1w)' equal to zero and attempt to solve: Simplifying 70 + -1w = 0 Solving 70 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -1w = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -1w = 0 + -70 -1w = 0 + -70 Combine like terms: 0 + -70 = -70 -1w = -70 Divide each side by '-1'. w = 70 Simplifying w = 70Solution
w = {20, 70}
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