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Simplifying (5w + -3)(6 + -1w) = 0 Reorder the terms: (-3 + 5w)(6 + -1w) = 0 Multiply (-3 + 5w) * (6 + -1w) (-3(6 + -1w) + 5w * (6 + -1w)) = 0 ((6 * -3 + -1w * -3) + 5w * (6 + -1w)) = 0 ((-18 + 3w) + 5w * (6 + -1w)) = 0 (-18 + 3w + (6 * 5w + -1w * 5w)) = 0 (-18 + 3w + (30w + -5w2)) = 0 Combine like terms: 3w + 30w = 33w (-18 + 33w + -5w2) = 0 Solving -18 + 33w + -5w2 = 0 Solving for variable 'w'. Factor a trinomial. (-6 + w)(3 + -5w) = 0Subproblem 1
Set the factor '(-6 + w)' equal to zero and attempt to solve: Simplifying -6 + w = 0 Solving -6 + w = 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 + w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + w = 0 + 6 w = 0 + 6 Combine like terms: 0 + 6 = 6 w = 6 Simplifying w = 6Subproblem 2
Set the factor '(3 + -5w)' equal to zero and attempt to solve: Simplifying 3 + -5w = 0 Solving 3 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5w = 0 + -3 -5w = 0 + -3 Combine like terms: 0 + -3 = -3 -5w = -3 Divide each side by '-5'. w = 0.6 Simplifying w = 0.6Solution
w = {6, 0.6}
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