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Simplifying 4w2 + -112w + 343 = 0 Reorder the terms: 343 + -112w + 4w2 = 0 Solving 343 + -112w + 4w2 = 0 Solving for variable 'w'. Factor a trinomial. (7 + -2w)(49 + -2w) = 0Subproblem 1
Set the factor '(7 + -2w)' equal to zero and attempt to solve: Simplifying 7 + -2w = 0 Solving 7 + -2w = 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 + -2w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2w = 0 + -7 -2w = 0 + -7 Combine like terms: 0 + -7 = -7 -2w = -7 Divide each side by '-2'. w = 3.5 Simplifying w = 3.5Subproblem 2
Set the factor '(49 + -2w)' equal to zero and attempt to solve: Simplifying 49 + -2w = 0 Solving 49 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -2w = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -2w = 0 + -49 -2w = 0 + -49 Combine like terms: 0 + -49 = -49 -2w = -49 Divide each side by '-2'. w = 24.5 Simplifying w = 24.5Solution
w = {3.5, 24.5}
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