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Simplifying 6w2 + 55w + 9 = 0 Reorder the terms: 9 + 55w + 6w2 = 0 Solving 9 + 55w + 6w2 = 0 Solving for variable 'w'. Factor a trinomial. (9 + w)(1 + 6w) = 0Subproblem 1
Set the factor '(9 + w)' equal to zero and attempt to solve: Simplifying 9 + w = 0 Solving 9 + w = 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 + w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + w = 0 + -9 w = 0 + -9 Combine like terms: 0 + -9 = -9 w = -9 Simplifying w = -9Subproblem 2
Set the factor '(1 + 6w)' equal to zero and attempt to solve: Simplifying 1 + 6w = 0 Solving 1 + 6w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6w = 0 + -1 6w = 0 + -1 Combine like terms: 0 + -1 = -1 6w = -1 Divide each side by '6'. w = -0.1666666667 Simplifying w = -0.1666666667Solution
w = {-9, -0.1666666667}
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