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Simplifying (-7 + -1w)(5 + -1w) = 0 Multiply (-7 + -1w) * (5 + -1w) (-7(5 + -1w) + -1w * (5 + -1w)) = 0 ((5 * -7 + -1w * -7) + -1w * (5 + -1w)) = 0 ((-35 + 7w) + -1w * (5 + -1w)) = 0 (-35 + 7w + (5 * -1w + -1w * -1w)) = 0 (-35 + 7w + (-5w + 1w2)) = 0 Combine like terms: 7w + -5w = 2w (-35 + 2w + 1w2) = 0 Solving -35 + 2w + 1w2 = 0 Solving for variable 'w'. Factor a trinomial. (-7 + -1w)(5 + -1w) = 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 '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5Solution
w = {-7, 5}
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