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Simplifying 352 = w2 + 6w Reorder the terms: 352 = 6w + w2 Solving 352 = 6w + w2 Solving for variable 'w'. Reorder the terms: 352 + -6w + -1w2 = 6w + -6w + w2 + -1w2 Combine like terms: 6w + -6w = 0 352 + -6w + -1w2 = 0 + w2 + -1w2 352 + -6w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 352 + -6w + -1w2 = 0 Factor a trinomial. (16 + -1w)(22 + w) = 0Subproblem 1
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 = 16Subproblem 2
Set the factor '(22 + w)' equal to zero and attempt to solve: Simplifying 22 + w = 0 Solving 22 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + w = 0 + -22 Combine like terms: 22 + -22 = 0 0 + w = 0 + -22 w = 0 + -22 Combine like terms: 0 + -22 = -22 w = -22 Simplifying w = -22Solution
w = {16, -22}
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