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Simplifying (2w + -55)(w + -7) = 0 Reorder the terms: (-55 + 2w)(w + -7) = 0 Reorder the terms: (-55 + 2w)(-7 + w) = 0 Multiply (-55 + 2w) * (-7 + w) (-55(-7 + w) + 2w * (-7 + w)) = 0 ((-7 * -55 + w * -55) + 2w * (-7 + w)) = 0 ((385 + -55w) + 2w * (-7 + w)) = 0 (385 + -55w + (-7 * 2w + w * 2w)) = 0 (385 + -55w + (-14w + 2w2)) = 0 Combine like terms: -55w + -14w = -69w (385 + -69w + 2w2) = 0 Solving 385 + -69w + 2w2 = 0 Solving for variable 'w'. Factor a trinomial. (7 + -1w)(55 + -2w) = 0Subproblem 1
Set the factor '(7 + -1w)' equal to zero and attempt to solve: Simplifying 7 + -1w = 0 Solving 7 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 0 + -7 -1w = 0 + -7 Combine like terms: 0 + -7 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7Subproblem 2
Set the factor '(55 + -2w)' equal to zero and attempt to solve: Simplifying 55 + -2w = 0 Solving 55 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -2w = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -2w = 0 + -55 -2w = 0 + -55 Combine like terms: 0 + -55 = -55 -2w = -55 Divide each side by '-2'. w = 27.5 Simplifying w = 27.5Solution
w = {7, 27.5}
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