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Simplifying (8 + w)(5w + -3) = 0 Reorder the terms: (8 + w)(-3 + 5w) = 0 Multiply (8 + w) * (-3 + 5w) (8(-3 + 5w) + w(-3 + 5w)) = 0 ((-3 * 8 + 5w * 8) + w(-3 + 5w)) = 0 ((-24 + 40w) + w(-3 + 5w)) = 0 (-24 + 40w + (-3 * w + 5w * w)) = 0 (-24 + 40w + (-3w + 5w2)) = 0 Combine like terms: 40w + -3w = 37w (-24 + 37w + 5w2) = 0 Solving -24 + 37w + 5w2 = 0 Solving for variable 'w'. Factor a trinomial. (-8 + -1w)(3 + -5w) = 0Subproblem 1
Set the factor '(-8 + -1w)' equal to zero and attempt to solve: Simplifying -8 + -1w = 0 Solving -8 + -1w = 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 + -1w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1w = 0 + 8 -1w = 0 + 8 Combine like terms: 0 + 8 = 8 -1w = 8 Divide each side by '-1'. w = -8 Simplifying w = -8Subproblem 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 = {-8, 0.6}
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