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Simplifying 2w2 + 21w + 53 + -1w2 + -10w + -25 = 0 Reorder the terms: 53 + -25 + 21w + -10w + 2w2 + -1w2 = 0 Combine like terms: 53 + -25 = 28 28 + 21w + -10w + 2w2 + -1w2 = 0 Combine like terms: 21w + -10w = 11w 28 + 11w + 2w2 + -1w2 = 0 Combine like terms: 2w2 + -1w2 = 1w2 28 + 11w + 1w2 = 0 Solving 28 + 11w + 1w2 = 0 Solving for variable 'w'. Factor a trinomial. (7 + w)(4 + 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 '(4 + w)' equal to zero and attempt to solve: Simplifying 4 + w = 0 Solving 4 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + w = 0 + -4 w = 0 + -4 Combine like terms: 0 + -4 = -4 w = -4 Simplifying w = -4Solution
w = {-7, -4}
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