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Simplifying (4 + -1w)(5w + -8) = 0 Reorder the terms: (4 + -1w)(-8 + 5w) = 0 Multiply (4 + -1w) * (-8 + 5w) (4(-8 + 5w) + -1w * (-8 + 5w)) = 0 ((-8 * 4 + 5w * 4) + -1w * (-8 + 5w)) = 0 ((-32 + 20w) + -1w * (-8 + 5w)) = 0 (-32 + 20w + (-8 * -1w + 5w * -1w)) = 0 (-32 + 20w + (8w + -5w2)) = 0 Combine like terms: 20w + 8w = 28w (-32 + 28w + -5w2) = 0 Solving -32 + 28w + -5w2 = 0 Solving for variable 'w'. Factor a trinomial. (-4 + w)(8 + -5w) = 0Subproblem 1
Set the factor '(-4 + w)' equal to zero and attempt to solve: Simplifying -4 + w = 0 Solving -4 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + w = 0 + 4 w = 0 + 4 Combine like terms: 0 + 4 = 4 w = 4 Simplifying w = 4Subproblem 2
Set the factor '(8 + -5w)' equal to zero and attempt to solve: Simplifying 8 + -5w = 0 Solving 8 + -5w = 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 + -5w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5w = 0 + -8 -5w = 0 + -8 Combine like terms: 0 + -8 = -8 -5w = -8 Divide each side by '-5'. w = 1.6 Simplifying w = 1.6Solution
w = {4, 1.6}
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