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Simplifying 7w2 + 30w + 8 = 0 Reorder the terms: 8 + 30w + 7w2 = 0 Solving 8 + 30w + 7w2 = 0 Solving for variable 'w'. Factor a trinomial. (4 + w)(2 + 7w) = 0Subproblem 1
Set the factor '(4 + w)' equal to zero and attempt to solve: Simplifying 4 + w = 0 Solving 4 + w = 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 + w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + w = 0 + -4 w = 0 + -4 Combine like terms: 0 + -4 = -4 w = -4 Simplifying w = -4Subproblem 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 = {-4, -0.2857142857}
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