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Simplifying 30w2 + 19w + -63 = 0 Reorder the terms: -63 + 19w + 30w2 = 0 Solving -63 + 19w + 30w2 = 0 Solving for variable 'w'. Factor a trinomial. (-9 + -5w)(7 + -6w) = 0Subproblem 1
Set the factor '(-9 + -5w)' equal to zero and attempt to solve: Simplifying -9 + -5w = 0 Solving -9 + -5w = 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 + -5w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5w = 0 + 9 -5w = 0 + 9 Combine like terms: 0 + 9 = 9 -5w = 9 Divide each side by '-5'. w = -1.8 Simplifying w = -1.8Subproblem 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 = {-1.8, 1.166666667}
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