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Simplifying (8 + -1w)(3w + -5) = 0 Reorder the terms: (8 + -1w)(-5 + 3w) = 0 Multiply (8 + -1w) * (-5 + 3w) (8(-5 + 3w) + -1w * (-5 + 3w)) = 0 ((-5 * 8 + 3w * 8) + -1w * (-5 + 3w)) = 0 ((-40 + 24w) + -1w * (-5 + 3w)) = 0 (-40 + 24w + (-5 * -1w + 3w * -1w)) = 0 (-40 + 24w + (5w + -3w2)) = 0 Combine like terms: 24w + 5w = 29w (-40 + 29w + -3w2) = 0 Solving -40 + 29w + -3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-8 + w)(5 + -3w) = 0Subproblem 1
Set the factor '(-8 + w)' equal to zero and attempt to solve: Simplifying -8 + w = 0 Solving -8 + w = 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 + w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + w = 0 + 8 w = 0 + 8 Combine like terms: 0 + 8 = 8 w = 8 Simplifying w = 8Subproblem 2
Set the factor '(5 + -3w)' equal to zero and attempt to solve: Simplifying 5 + -3w = 0 Solving 5 + -3w = 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 + -3w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3w = 0 + -5 -3w = 0 + -5 Combine like terms: 0 + -5 = -5 -3w = -5 Divide each side by '-3'. w = 1.666666667 Simplifying w = 1.666666667Solution
w = {8, 1.666666667}
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