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Simplifying 7w2 + -30w + 27 = 0 Reorder the terms: 27 + -30w + 7w2 = 0 Solving 27 + -30w + 7w2 = 0 Solving for variable 'w'. Factor a trinomial. (9 + -7w)(3 + -1w) = 0Subproblem 1
Set the factor '(9 + -7w)' equal to zero and attempt to solve: Simplifying 9 + -7w = 0 Solving 9 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7w = 0 + -9 -7w = 0 + -9 Combine like terms: 0 + -9 = -9 -7w = -9 Divide each side by '-7'. w = 1.285714286 Simplifying w = 1.285714286Subproblem 2
Set the factor '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 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 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3Solution
w = {1.285714286, 3}
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