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Simplifying 21w2 + 47w + 20 = 0 Reorder the terms: 20 + 47w + 21w2 = 0 Solving 20 + 47w + 21w2 = 0 Solving for variable 'w'. Factor a trinomial. (5 + 3w)(4 + 7w) = 0Subproblem 1
Set the factor '(5 + 3w)' equal to zero and attempt to solve: Simplifying 5 + 3w = 0 Solving 5 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = 0 + -5 3w = 0 + -5 Combine like terms: 0 + -5 = -5 3w = -5 Divide each side by '3'. w = -1.666666667 Simplifying w = -1.666666667Subproblem 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 = {-1.666666667, -0.5714285714}
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