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Simplifying (8 + -1w)(5w + 7) = 0 Reorder the terms: (8 + -1w)(7 + 5w) = 0 Multiply (8 + -1w) * (7 + 5w) (8(7 + 5w) + -1w * (7 + 5w)) = 0 ((7 * 8 + 5w * 8) + -1w * (7 + 5w)) = 0 ((56 + 40w) + -1w * (7 + 5w)) = 0 (56 + 40w + (7 * -1w + 5w * -1w)) = 0 (56 + 40w + (-7w + -5w2)) = 0 Combine like terms: 40w + -7w = 33w (56 + 33w + -5w2) = 0 Solving 56 + 33w + -5w2 = 0 Solving for variable 'w'. Factor a trinomial. (8 + -1w)(7 + 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 '(7 + 5w)' equal to zero and attempt to solve: Simplifying 7 + 5w = 0 Solving 7 + 5w = 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 + 5w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5w = 0 + -7 5w = 0 + -7 Combine like terms: 0 + -7 = -7 5w = -7 Divide each side by '5'. w = -1.4 Simplifying w = -1.4Solution
w = {8, -1.4}
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