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Simplifying (5w + -6)(8 + -1w) = 0 Reorder the terms: (-6 + 5w)(8 + -1w) = 0 Multiply (-6 + 5w) * (8 + -1w) (-6(8 + -1w) + 5w * (8 + -1w)) = 0 ((8 * -6 + -1w * -6) + 5w * (8 + -1w)) = 0 ((-48 + 6w) + 5w * (8 + -1w)) = 0 (-48 + 6w + (8 * 5w + -1w * 5w)) = 0 (-48 + 6w + (40w + -5w2)) = 0 Combine like terms: 6w + 40w = 46w (-48 + 46w + -5w2) = 0 Solving -48 + 46w + -5w2 = 0 Solving for variable 'w'. Factor a trinomial. (-8 + w)(6 + -5w) = 0Subproblem 1
Set the factor '(-8 + w)' equal to zero and attempt to solve: Simplifying -8 + w = 0 Solving -8 + w = 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 + w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + w = 0 + 8 w = 0 + 8 Combine like terms: 0 + 8 = 8 w = 8 Simplifying w = 8Subproblem 2
Set the factor '(6 + -5w)' equal to zero and attempt to solve: Simplifying 6 + -5w = 0 Solving 6 + -5w = 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 + -5w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5w = 0 + -6 -5w = 0 + -6 Combine like terms: 0 + -6 = -6 -5w = -6 Divide each side by '-5'. w = 1.2 Simplifying w = 1.2Solution
w = {8, 1.2}
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