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Simplifying 3w[w + 8] = 195 Reorder the terms: 3w[8 + w] = 195 [8 * 3w + w * 3w] = 195 [24w + 3w2] = 195 Solving 24w + 3w2 = 195 Solving for variable 'w'. Reorder the terms: -195 + 24w + 3w2 = 195 + -195 Combine like terms: 195 + -195 = 0 -195 + 24w + 3w2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-65 + 8w + w2) = 0 Factor a trinomial. 3((-13 + -1w)(5 + -1w)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-13 + -1w)' equal to zero and attempt to solve: Simplifying -13 + -1w = 0 Solving -13 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1w = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1w = 0 + 13 -1w = 0 + 13 Combine like terms: 0 + 13 = 13 -1w = 13 Divide each side by '-1'. w = -13 Simplifying w = -13Subproblem 2
Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5Solution
w = {-13, 5}
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