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Simplifying 6w2 + 59w + 75 = 0 Reorder the terms: 75 + 59w + 6w2 = 0 Solving 75 + 59w + 6w2 = 0 Solving for variable 'w'. Factor a trinomial. (25 + 3w)(3 + 2w) = 0Subproblem 1
Set the factor '(25 + 3w)' equal to zero and attempt to solve: Simplifying 25 + 3w = 0 Solving 25 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 3w = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 3w = 0 + -25 3w = 0 + -25 Combine like terms: 0 + -25 = -25 3w = -25 Divide each side by '3'. w = -8.333333333 Simplifying w = -8.333333333Subproblem 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 = {-8.333333333, -1.5}
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