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Simplifying 44 + 57w + -35w2 = 0 Solving 44 + 57w + -35w2 = 0 Solving for variable 'w'. Factor a trinomial. (11 + -5w)(4 + 7w) = 0Subproblem 1
Set the factor '(11 + -5w)' equal to zero and attempt to solve: Simplifying 11 + -5w = 0 Solving 11 + -5w = 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 + -5w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5w = 0 + -11 -5w = 0 + -11 Combine like terms: 0 + -11 = -11 -5w = -11 Divide each side by '-5'. w = 2.2 Simplifying w = 2.2Subproblem 2
Set the factor '(4 + 7w)' equal to zero and attempt to solve: Simplifying 4 + 7w = 0 Solving 4 + 7w = 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 + 7w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7w = 0 + -4 7w = 0 + -4 Combine like terms: 0 + -4 = -4 7w = -4 Divide each side by '7'. w = -0.5714285714 Simplifying w = -0.5714285714Solution
w = {2.2, -0.5714285714}
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