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Simplifying 2w2 + -7w + -400 = 0 Reorder the terms: -400 + -7w + 2w2 = 0 Solving -400 + -7w + 2w2 = 0 Solving for variable 'w'. Factor a trinomial. (-25 + -2w)(16 + -1w) = 0Subproblem 1
Set the factor '(-25 + -2w)' equal to zero and attempt to solve: Simplifying -25 + -2w = 0 Solving -25 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -2w = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -2w = 0 + 25 -2w = 0 + 25 Combine like terms: 0 + 25 = 25 -2w = 25 Divide each side by '-2'. w = -12.5 Simplifying w = -12.5Subproblem 2
Set the factor '(16 + -1w)' equal to zero and attempt to solve: Simplifying 16 + -1w = 0 Solving 16 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1w = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1w = 0 + -16 -1w = 0 + -16 Combine like terms: 0 + -16 = -16 -1w = -16 Divide each side by '-1'. w = 16 Simplifying w = 16Solution
w = {-12.5, 16}
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