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Simplifying (4w + -4)(5w + -6) = 0 Reorder the terms: (-4 + 4w)(5w + -6) = 0 Reorder the terms: (-4 + 4w)(-6 + 5w) = 0 Multiply (-4 + 4w) * (-6 + 5w) (-4(-6 + 5w) + 4w * (-6 + 5w)) = 0 ((-6 * -4 + 5w * -4) + 4w * (-6 + 5w)) = 0 ((24 + -20w) + 4w * (-6 + 5w)) = 0 (24 + -20w + (-6 * 4w + 5w * 4w)) = 0 (24 + -20w + (-24w + 20w2)) = 0 Combine like terms: -20w + -24w = -44w (24 + -44w + 20w2) = 0 Solving 24 + -44w + 20w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4'. 4(6 + -11w + 5w2) = 0 Factor a trinomial. 4((1 + -1w)(6 + -5w)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -1w)' equal to zero and attempt to solve: Simplifying 1 + -1w = 0 Solving 1 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = 0 + -1 -1w = 0 + -1 Combine like terms: 0 + -1 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1Subproblem 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 = {1, 1.2}
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