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Simplifying (2w + 5)(1w + 10) = 0 Reorder the terms: (5 + 2w)(1w + 10) = 0 Reorder the terms: (5 + 2w)(10 + 1w) = 0 Multiply (5 + 2w) * (10 + 1w) (5(10 + 1w) + 2w * (10 + 1w)) = 0 ((10 * 5 + 1w * 5) + 2w * (10 + 1w)) = 0 ((50 + 5w) + 2w * (10 + 1w)) = 0 (50 + 5w + (10 * 2w + 1w * 2w)) = 0 (50 + 5w + (20w + 2w2)) = 0 Combine like terms: 5w + 20w = 25w (50 + 25w + 2w2) = 0 Solving 50 + 25w + 2w2 = 0 Solving for variable 'w'. Factor a trinomial. (10 + w)(5 + 2w) = 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 '(5 + 2w)' equal to zero and attempt to solve: Simplifying 5 + 2w = 0 Solving 5 + 2w = 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 + 2w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2w = 0 + -5 2w = 0 + -5 Combine like terms: 0 + -5 = -5 2w = -5 Divide each side by '2'. w = -2.5 Simplifying w = -2.5Solution
w = {-10, -2.5}
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