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Simplifying 4w2 + 20w + 21 = 0 Reorder the terms: 21 + 20w + 4w2 = 0 Solving 21 + 20w + 4w2 = 0 Solving for variable 'w'. Factor a trinomial. (7 + 2w)(3 + 2w) = 0Subproblem 1
Set the factor '(7 + 2w)' equal to zero and attempt to solve: Simplifying 7 + 2w = 0 Solving 7 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2w = 0 + -7 2w = 0 + -7 Combine like terms: 0 + -7 = -7 2w = -7 Divide each side by '2'. w = -3.5 Simplifying w = -3.5Subproblem 2
Set the factor '(3 + 2w)' equal to zero and attempt to solve: Simplifying 3 + 2w = 0 Solving 3 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = 0 + -3 2w = 0 + -3 Combine like terms: 0 + -3 = -3 2w = -3 Divide each side by '2'. w = -1.5 Simplifying w = -1.5Solution
w = {-3.5, -1.5}
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