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Simplifying 3w2 + -1w + -44 = 0 Reorder the terms: -44 + -1w + 3w2 = 0 Solving -44 + -1w + 3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-11 + -3w)(4 + -1w) = 0Subproblem 1
Set the factor '(-11 + -3w)' equal to zero and attempt to solve: Simplifying -11 + -3w = 0 Solving -11 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3w = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3w = 0 + 11 -3w = 0 + 11 Combine like terms: 0 + 11 = 11 -3w = 11 Divide each side by '-3'. w = -3.666666667 Simplifying w = -3.666666667Subproblem 2
Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4Solution
w = {-3.666666667, 4}
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