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Simplifying (3w + 8) * w = 28 Reorder the terms: (8 + 3w) * w = 28 Reorder the terms for easier multiplication: w(8 + 3w) = 28 (8 * w + 3w * w) = 28 (8w + 3w2) = 28 Solving 8w + 3w2 = 28 Solving for variable 'w'. Reorder the terms: -28 + 8w + 3w2 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + 8w + 3w2 = 0 Factor a trinomial. (-14 + -3w)(2 + -1w) = 0Subproblem 1
Set the factor '(-14 + -3w)' equal to zero and attempt to solve: Simplifying -14 + -3w = 0 Solving -14 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -3w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -3w = 0 + 14 -3w = 0 + 14 Combine like terms: 0 + 14 = 14 -3w = 14 Divide each side by '-3'. w = -4.666666667 Simplifying w = -4.666666667Subproblem 2
Set the factor '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Solution
w = {-4.666666667, 2}
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