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Simplifying (5w + 11)(w + 10) = 0 Reorder the terms: (11 + 5w)(w + 10) = 0 Reorder the terms: (11 + 5w)(10 + w) = 0 Multiply (11 + 5w) * (10 + w) (11(10 + w) + 5w * (10 + w)) = 0 ((10 * 11 + w * 11) + 5w * (10 + w)) = 0 ((110 + 11w) + 5w * (10 + w)) = 0 (110 + 11w + (10 * 5w + w * 5w)) = 0 (110 + 11w + (50w + 5w2)) = 0 Combine like terms: 11w + 50w = 61w (110 + 61w + 5w2) = 0 Solving 110 + 61w + 5w2 = 0 Solving for variable 'w'. Factor a trinomial. (10 + w)(11 + 5w) = 0Subproblem 1
Set the factor '(10 + w)' equal to zero and attempt to solve: Simplifying 10 + w = 0 Solving 10 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + w = 0 + -10 w = 0 + -10 Combine like terms: 0 + -10 = -10 w = -10 Simplifying w = -10Subproblem 2
Set the factor '(11 + 5w)' equal to zero and attempt to solve: Simplifying 11 + 5w = 0 Solving 11 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5w = 0 + -11 5w = 0 + -11 Combine like terms: 0 + -11 = -11 5w = -11 Divide each side by '5'. w = -2.2 Simplifying w = -2.2Solution
w = {-10, -2.2}
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