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Simplifying 48 = 3w2 + -10w Reorder the terms: 48 = -10w + 3w2 Solving 48 = -10w + 3w2 Solving for variable 'w'. Reorder the terms: 48 + 10w + -3w2 = -10w + 10w + 3w2 + -3w2 Combine like terms: -10w + 10w = 0 48 + 10w + -3w2 = 0 + 3w2 + -3w2 48 + 10w + -3w2 = 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 48 + 10w + -3w2 = 0 Factor a trinomial. (6 + -1w)(8 + 3w) = 0Subproblem 1
Set the factor '(6 + -1w)' equal to zero and attempt to solve: Simplifying 6 + -1w = 0 Solving 6 + -1w = 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 + -1w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 0 + -6 -1w = 0 + -6 Combine like terms: 0 + -6 = -6 -1w = -6 Divide each side by '-1'. w = 6 Simplifying w = 6Subproblem 2
Set the factor '(8 + 3w)' equal to zero and attempt to solve: Simplifying 8 + 3w = 0 Solving 8 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3w = 0 + -8 3w = 0 + -8 Combine like terms: 0 + -8 = -8 3w = -8 Divide each side by '3'. w = -2.666666667 Simplifying w = -2.666666667Solution
w = {6, -2.666666667}
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