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Simplifying 42w2 + w = 30 Reorder the terms: w + 42w2 = 30 Solving w + 42w2 = 30 Solving for variable 'w'. Reorder the terms: -30 + w + 42w2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + w + 42w2 = 0 Factor a trinomial. (-6 + -7w)(5 + -6w) = 0Subproblem 1
Set the factor '(-6 + -7w)' equal to zero and attempt to solve: Simplifying -6 + -7w = 0 Solving -6 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7w = 0 + 6 -7w = 0 + 6 Combine like terms: 0 + 6 = 6 -7w = 6 Divide each side by '-7'. w = -0.8571428571 Simplifying w = -0.8571428571Subproblem 2
Set the factor '(5 + -6w)' equal to zero and attempt to solve: Simplifying 5 + -6w = 0 Solving 5 + -6w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6w = 0 + -5 -6w = 0 + -5 Combine like terms: 0 + -5 = -5 -6w = -5 Divide each side by '-6'. w = 0.8333333333 Simplifying w = 0.8333333333Solution
w = {-0.8571428571, 0.8333333333}
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