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Simplifying w2 + 2w + -195 = 0 Reorder the terms: -195 + 2w + w2 = 0 Solving -195 + 2w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-15 + -1w)(13 + -1w) = 0Subproblem 1
Set the factor '(-15 + -1w)' equal to zero and attempt to solve: Simplifying -15 + -1w = 0 Solving -15 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1w = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1w = 0 + 15 -1w = 0 + 15 Combine like terms: 0 + 15 = 15 -1w = 15 Divide each side by '-1'. w = -15 Simplifying w = -15Subproblem 2
Set the factor '(13 + -1w)' equal to zero and attempt to solve: Simplifying 13 + -1w = 0 Solving 13 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1w = 0 + -13 -1w = 0 + -13 Combine like terms: 0 + -13 = -13 -1w = -13 Divide each side by '-1'. w = 13 Simplifying w = 13Solution
w = {-15, 13}
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