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Simplifying (3W + -10) * W = 48 Reorder the terms: (-10 + 3W) * W = 48 Reorder the terms for easier multiplication: W(-10 + 3W) = 48 (-10 * W + 3W * W) = 48 (-10W + 3W2) = 48 Solving -10W + 3W2 = 48 Solving for variable 'W'. Reorder the terms: -48 + -10W + 3W2 = 48 + -48 Combine like terms: 48 + -48 = 0 -48 + -10W + 3W2 = 0 Factor a trinomial. (-8 + -3W)(6 + -1W) = 0Subproblem 1
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 = -2.666666667Subproblem 2
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 = 6Solution
W = {-2.666666667, 6}
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