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Simplifying w(19 + 12w) = 21 (19 * w + 12w * w) = 21 (19w + 12w2) = 21 Solving 19w + 12w2 = 21 Solving for variable 'w'. Reorder the terms: -21 + 19w + 12w2 = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + 19w + 12w2 = 0 Factor a trinomial. (-7 + -3w)(3 + -4w) = 0Subproblem 1
Set the factor '(-7 + -3w)' equal to zero and attempt to solve: Simplifying -7 + -3w = 0 Solving -7 + -3w = 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 + -3w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3w = 0 + 7 -3w = 0 + 7 Combine like terms: 0 + 7 = 7 -3w = 7 Divide each side by '-3'. w = -2.333333333 Simplifying w = -2.333333333Subproblem 2
Set the factor '(3 + -4w)' equal to zero and attempt to solve: Simplifying 3 + -4w = 0 Solving 3 + -4w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4w = 0 + -3 -4w = 0 + -3 Combine like terms: 0 + -3 = -3 -4w = -3 Divide each side by '-4'. w = 0.75 Simplifying w = 0.75Solution
w = {-2.333333333, 0.75}
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