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Simplifying (w + 7)(5w + -8) = 0 Reorder the terms: (7 + w)(5w + -8) = 0 Reorder the terms: (7 + w)(-8 + 5w) = 0 Multiply (7 + w) * (-8 + 5w) (7(-8 + 5w) + w(-8 + 5w)) = 0 ((-8 * 7 + 5w * 7) + w(-8 + 5w)) = 0 ((-56 + 35w) + w(-8 + 5w)) = 0 (-56 + 35w + (-8 * w + 5w * w)) = 0 (-56 + 35w + (-8w + 5w2)) = 0 Combine like terms: 35w + -8w = 27w (-56 + 27w + 5w2) = 0 Solving -56 + 27w + 5w2 = 0 Solving for variable 'w'. Factor a trinomial. (-7 + -1w)(8 + -5w) = 0Subproblem 1
Set the factor '(-7 + -1w)' equal to zero and attempt to solve: Simplifying -7 + -1w = 0 Solving -7 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1w = 0 + 7 -1w = 0 + 7 Combine like terms: 0 + 7 = 7 -1w = 7 Divide each side by '-1'. w = -7 Simplifying w = -7Subproblem 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 = {-7, 1.6}
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