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Simplifying w2 + 9w + -190 = 0 Reorder the terms: -190 + 9w + w2 = 0 Solving -190 + 9w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-19 + -1w)(10 + -1w) = 0Subproblem 1
Set the factor '(-19 + -1w)' equal to zero and attempt to solve: Simplifying -19 + -1w = 0 Solving -19 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1w = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1w = 0 + 19 -1w = 0 + 19 Combine like terms: 0 + 19 = 19 -1w = 19 Divide each side by '-1'. w = -19 Simplifying w = -19Subproblem 2
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 = 10Solution
w = {-19, 10}
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