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Simplifying 3w2 + 4w + -480 = 0 Reorder the terms: -480 + 4w + 3w2 = 0 Solving -480 + 4w + 3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-40 + -3w)(12 + -1w) = 0Subproblem 1
Set the factor '(-40 + -3w)' equal to zero and attempt to solve: Simplifying -40 + -3w = 0 Solving -40 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -3w = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -3w = 0 + 40 -3w = 0 + 40 Combine like terms: 0 + 40 = 40 -3w = 40 Divide each side by '-3'. w = -13.33333333 Simplifying w = -13.33333333Subproblem 2
Set the factor '(12 + -1w)' equal to zero and attempt to solve: Simplifying 12 + -1w = 0 Solving 12 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = 0 + -12 -1w = 0 + -12 Combine like terms: 0 + -12 = -12 -1w = -12 Divide each side by '-1'. w = 12 Simplifying w = 12Solution
w = {-13.33333333, 12}
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