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Simplifying (5w + 3)(5 + -1w) = 0 Reorder the terms: (3 + 5w)(5 + -1w) = 0 Multiply (3 + 5w) * (5 + -1w) (3(5 + -1w) + 5w * (5 + -1w)) = 0 ((5 * 3 + -1w * 3) + 5w * (5 + -1w)) = 0 ((15 + -3w) + 5w * (5 + -1w)) = 0 (15 + -3w + (5 * 5w + -1w * 5w)) = 0 (15 + -3w + (25w + -5w2)) = 0 Combine like terms: -3w + 25w = 22w (15 + 22w + -5w2) = 0 Solving 15 + 22w + -5w2 = 0 Solving for variable 'w'. Factor a trinomial. (5 + -1w)(3 + 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 '(3 + 5w)' equal to zero and attempt to solve: Simplifying 3 + 5w = 0 Solving 3 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5w = 0 + -3 5w = 0 + -3 Combine like terms: 0 + -3 = -3 5w = -3 Divide each side by '5'. w = -0.6 Simplifying w = -0.6Solution
w = {5, -0.6}
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