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Simplifying 6w2 + 17w + -28 = 0 Reorder the terms: -28 + 17w + 6w2 = 0 Solving -28 + 17w + 6w2 = 0 Solving for variable 'w'. Factor a trinomial. (-4 + -1w)(7 + -6w) = 0Subproblem 1
Set the factor '(-4 + -1w)' equal to zero and attempt to solve: Simplifying -4 + -1w = 0 Solving -4 + -1w = 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 + -1w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1w = 0 + 4 -1w = 0 + 4 Combine like terms: 0 + 4 = 4 -1w = 4 Divide each side by '-1'. w = -4 Simplifying w = -4Subproblem 2
Set the factor '(7 + -6w)' equal to zero and attempt to solve: Simplifying 7 + -6w = 0 Solving 7 + -6w = 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 + -6w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6w = 0 + -7 -6w = 0 + -7 Combine like terms: 0 + -7 = -7 -6w = -7 Divide each side by '-6'. w = 1.166666667 Simplifying w = 1.166666667Solution
w = {-4, 1.166666667}
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