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Simplifying 21w2 + 20w + 4 = 0 Reorder the terms: 4 + 20w + 21w2 = 0 Solving 4 + 20w + 21w2 = 0 Solving for variable 'w'. Factor a trinomial. (2 + 3w)(2 + 7w) = 0Subproblem 1
Set the factor '(2 + 3w)' equal to zero and attempt to solve: Simplifying 2 + 3w = 0 Solving 2 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3w = 0 + -2 3w = 0 + -2 Combine like terms: 0 + -2 = -2 3w = -2 Divide each side by '3'. w = -0.6666666667 Simplifying w = -0.6666666667Subproblem 2
Set the factor '(2 + 7w)' equal to zero and attempt to solve: Simplifying 2 + 7w = 0 Solving 2 + 7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7w = 0 + -2 7w = 0 + -2 Combine like terms: 0 + -2 = -2 7w = -2 Divide each side by '7'. w = -0.2857142857 Simplifying w = -0.2857142857Solution
w = {-0.6666666667, -0.2857142857}
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