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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 = 7w (-15 + 7w + 30w2) = 0 Solving -15 + 7w + 30w2 = 0 Solving for variable 'w'. Factor a trinomial. (-5 + -6w)(3 + -5w) = 0Subproblem 1
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 = -0.8333333333Subproblem 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 = {-0.8333333333, 0.6}
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