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Simplifying 9w2 + -50w + 56 = 0 Reorder the terms: 56 + -50w + 9w2 = 0 Solving 56 + -50w + 9w2 = 0 Solving for variable 'w'. Factor a trinomial. (14 + -9w)(4 + -1w) = 0Subproblem 1
Set the factor '(14 + -9w)' equal to zero and attempt to solve: Simplifying 14 + -9w = 0 Solving 14 + -9w = 0 Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -9w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -9w = 0 + -14 -9w = 0 + -14 Combine like terms: 0 + -14 = -14 -9w = -14 Divide each side by '-9'. w = 1.555555556 Simplifying w = 1.555555556Subproblem 2
Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 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 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4Solution
w = {1.555555556, 4}
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