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Simplifying 10w2 + 40w = -40 Reorder the terms: 40w + 10w2 = -40 Solving 40w + 10w2 = -40 Solving for variable 'w'. Reorder the terms: 40 + 40w + 10w2 = -40 + 40 Combine like terms: -40 + 40 = 0 40 + 40w + 10w2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(4 + 4w + w2) = 0 Factor a trinomial. 10((2 + w)(2 + w)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(2 + w)' equal to zero and attempt to solve: Simplifying 2 + w = 0 Solving 2 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + w = 0 + -2 w = 0 + -2 Combine like terms: 0 + -2 = -2 w = -2 Simplifying w = -2Subproblem 2
Set the factor '(2 + w)' equal to zero and attempt to solve: Simplifying 2 + w = 0 Solving 2 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + w = 0 + -2 w = 0 + -2 Combine like terms: 0 + -2 = -2 w = -2 Simplifying w = -2Solution
w = {-2, -2}
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