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Simplifying 5w(5w + 12) = -32 Reorder the terms: 5w(12 + 5w) = -32 (12 * 5w + 5w * 5w) = -32 (60w + 25w2) = -32 Solving 60w + 25w2 = -32 Solving for variable 'w'. Reorder the terms: 32 + 60w + 25w2 = -32 + 32 Combine like terms: -32 + 32 = 0 32 + 60w + 25w2 = 0 Factor a trinomial. (8 + 5w)(4 + 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 '(4 + 5w)' equal to zero and attempt to solve: Simplifying 4 + 5w = 0 Solving 4 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5w = 0 + -4 5w = 0 + -4 Combine like terms: 0 + -4 = -4 5w = -4 Divide each side by '5'. w = -0.8 Simplifying w = -0.8Solution
w = {-1.6, -0.8}
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