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Simplifying 3w2 + -365w + 8550 = 0 Reorder the terms: 8550 + -365w + 3w2 = 0 Solving 8550 + -365w + 3w2 = 0 Solving for variable 'w'. Factor a trinomial. (95 + -3w)(90 + -1w) = 0Subproblem 1
Set the factor '(95 + -3w)' equal to zero and attempt to solve: Simplifying 95 + -3w = 0 Solving 95 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + -3w = 0 + -95 Combine like terms: 95 + -95 = 0 0 + -3w = 0 + -95 -3w = 0 + -95 Combine like terms: 0 + -95 = -95 -3w = -95 Divide each side by '-3'. w = 31.66666667 Simplifying w = 31.66666667Subproblem 2
Set the factor '(90 + -1w)' equal to zero and attempt to solve: Simplifying 90 + -1w = 0 Solving 90 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -1w = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -1w = 0 + -90 -1w = 0 + -90 Combine like terms: 0 + -90 = -90 -1w = -90 Divide each side by '-1'. w = 90 Simplifying w = 90Solution
w = {31.66666667, 90}
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