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Simplifying 5 + 5(w + 2) * w = 0 Reorder the terms: 5 + 5(2 + w) * w = 0 Reorder the terms for easier multiplication: 5 + 5w(2 + w) = 0 5 + (2 * 5w + w * 5w) = 0 5 + (10w + 5w2) = 0 Solving 5 + 10w + 5w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '5'. 5(1 + 2w + w2) = 0 Factor a trinomial. 5((1 + w)(1 + w)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Simplifying w = -1Subproblem 2
Set the factor '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Simplifying w = -1Solution
w = {-1, -1}
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