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Simplifying (5w + 7)(2 + -1w) = 0 Reorder the terms: (7 + 5w)(2 + -1w) = 0 Multiply (7 + 5w) * (2 + -1w) (7(2 + -1w) + 5w * (2 + -1w)) = 0 ((2 * 7 + -1w * 7) + 5w * (2 + -1w)) = 0 ((14 + -7w) + 5w * (2 + -1w)) = 0 (14 + -7w + (2 * 5w + -1w * 5w)) = 0 (14 + -7w + (10w + -5w2)) = 0 Combine like terms: -7w + 10w = 3w (14 + 3w + -5w2) = 0 Solving 14 + 3w + -5w2 = 0 Solving for variable 'w'. Factor a trinomial. (2 + -1w)(7 + 5w) = 0Subproblem 1
Set the factor '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Subproblem 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 = {2, -1.4}
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