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Simplifying 3w2 + -1w + -310 = 0 Reorder the terms: -310 + -1w + 3w2 = 0 Solving -310 + -1w + 3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-10 + -1w)(31 + -3w) = 0Subproblem 1
Set the factor '(-10 + -1w)' equal to zero and attempt to solve: Simplifying -10 + -1w = 0 Solving -10 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1w = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1w = 0 + 10 -1w = 0 + 10 Combine like terms: 0 + 10 = 10 -1w = 10 Divide each side by '-1'. w = -10 Simplifying w = -10Subproblem 2
Set the factor '(31 + -3w)' equal to zero and attempt to solve: Simplifying 31 + -3w = 0 Solving 31 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -3w = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -3w = 0 + -31 -3w = 0 + -31 Combine like terms: 0 + -31 = -31 -3w = -31 Divide each side by '-3'. w = 10.33333333 Simplifying w = 10.33333333Solution
w = {-10, 10.33333333}
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