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Simplifying w2 = -21 + -10w Solving w2 = -21 + -10w Solving for variable 'w'. Reorder the terms: 21 + 10w + w2 = -21 + -10w + 21 + 10w Reorder the terms: 21 + 10w + w2 = -21 + 21 + -10w + 10w Combine like terms: -21 + 21 = 0 21 + 10w + w2 = 0 + -10w + 10w 21 + 10w + w2 = -10w + 10w Combine like terms: -10w + 10w = 0 21 + 10w + w2 = 0 Factor a trinomial. (7 + w)(3 + w) = 0Subproblem 1
Set the factor '(7 + w)' equal to zero and attempt to solve: Simplifying 7 + w = 0 Solving 7 + w = 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 + w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + w = 0 + -7 w = 0 + -7 Combine like terms: 0 + -7 = -7 w = -7 Simplifying w = -7Subproblem 2
Set the factor '(3 + w)' equal to zero and attempt to solve: Simplifying 3 + w = 0 Solving 3 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + w = 0 + -3 w = 0 + -3 Combine like terms: 0 + -3 = -3 w = -3 Simplifying w = -3Solution
w = {-7, -3}
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