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Simplifying (5w + -3)(6w + -5) = 0 Reorder the terms: (-3 + 5w)(6w + -5) = 0 Reorder the terms: (-3 + 5w)(-5 + 6w) = 0 Multiply (-3 + 5w) * (-5 + 6w) (-3(-5 + 6w) + 5w * (-5 + 6w)) = 0 ((-5 * -3 + 6w * -3) + 5w * (-5 + 6w)) = 0 ((15 + -18w) + 5w * (-5 + 6w)) = 0 (15 + -18w + (-5 * 5w + 6w * 5w)) = 0 (15 + -18w + (-25w + 30w2)) = 0 Combine like terms: -18w + -25w = -43w (15 + -43w + 30w2) = 0 Solving 15 + -43w + 30w2 = 0 Solving for variable 'w'. Factor a trinomial. (3 + -5w)(5 + -6w) = 0Subproblem 1
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 = 0.6Subproblem 2
Set the factor '(5 + -6w)' equal to zero and attempt to solve: Simplifying 5 + -6w = 0 Solving 5 + -6w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6w = 0 + -5 -6w = 0 + -5 Combine like terms: 0 + -5 = -5 -6w = -5 Divide each side by '-6'. w = 0.8333333333 Simplifying w = 0.8333333333Solution
w = {0.6, 0.8333333333}
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