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Simplifying (5 + -1w)(5w + 6) = 0 Reorder the terms: (5 + -1w)(6 + 5w) = 0 Multiply (5 + -1w) * (6 + 5w) (5(6 + 5w) + -1w * (6 + 5w)) = 0 ((6 * 5 + 5w * 5) + -1w * (6 + 5w)) = 0 ((30 + 25w) + -1w * (6 + 5w)) = 0 (30 + 25w + (6 * -1w + 5w * -1w)) = 0 (30 + 25w + (-6w + -5w2)) = 0 Combine like terms: 25w + -6w = 19w (30 + 19w + -5w2) = 0 Solving 30 + 19w + -5w2 = 0 Solving for variable 'w'. Factor a trinomial. (5 + -1w)(6 + 5w) = 0Subproblem 1
Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 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 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5Subproblem 2
Set the factor '(6 + 5w)' equal to zero and attempt to solve: Simplifying 6 + 5w = 0 Solving 6 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5w = 0 + -6 5w = 0 + -6 Combine like terms: 0 + -6 = -6 5w = -6 Divide each side by '5'. w = -1.2 Simplifying w = -1.2Solution
w = {5, -1.2}
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