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Simplifying 5w(5w + 16) = -64 Reorder the terms: 5w(16 + 5w) = -64 (16 * 5w + 5w * 5w) = -64 (80w + 25w2) = -64 Solving 80w + 25w2 = -64 Solving for variable 'w'. Reorder the terms: 64 + 80w + 25w2 = -64 + 64 Combine like terms: -64 + 64 = 0 64 + 80w + 25w2 = 0 Factor a trinomial. (8 + 5w)(8 + 5w) = 0Subproblem 1
Set the factor '(8 + 5w)' equal to zero and attempt to solve: Simplifying 8 + 5w = 0 Solving 8 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5w = 0 + -8 5w = 0 + -8 Combine like terms: 0 + -8 = -8 5w = -8 Divide each side by '5'. w = -1.6 Simplifying w = -1.6Subproblem 2
Set the factor '(8 + 5w)' equal to zero and attempt to solve: Simplifying 8 + 5w = 0 Solving 8 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5w = 0 + -8 5w = 0 + -8 Combine like terms: 0 + -8 = -8 5w = -8 Divide each side by '5'. w = -1.6 Simplifying w = -1.6Solution
w = {-1.6, -1.6}
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