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Simplifying w2 + 26w + -855 = 0 Reorder the terms: -855 + 26w + w2 = 0 Solving -855 + 26w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-45 + -1w)(19 + -1w) = 0Subproblem 1
Set the factor '(-45 + -1w)' equal to zero and attempt to solve: Simplifying -45 + -1w = 0 Solving -45 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -1w = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -1w = 0 + 45 -1w = 0 + 45 Combine like terms: 0 + 45 = 45 -1w = 45 Divide each side by '-1'. w = -45 Simplifying w = -45Subproblem 2
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 = 19Solution
w = {-45, 19}
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