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Simplifying 2w2 + 3w = 324 Reorder the terms: 3w + 2w2 = 324 Solving 3w + 2w2 = 324 Solving for variable 'w'. Reorder the terms: -324 + 3w + 2w2 = 324 + -324 Combine like terms: 324 + -324 = 0 -324 + 3w + 2w2 = 0 Factor a trinomial. (-27 + -2w)(12 + -1w) = 0Subproblem 1
Set the factor '(-27 + -2w)' equal to zero and attempt to solve: Simplifying -27 + -2w = 0 Solving -27 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -2w = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -2w = 0 + 27 -2w = 0 + 27 Combine like terms: 0 + 27 = 27 -2w = 27 Divide each side by '-2'. w = -13.5 Simplifying w = -13.5Subproblem 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 = {-13.5, 12}
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