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Simplifying (w + 4)(w + -1) = 0 Reorder the terms: (4 + w)(w + -1) = 0 Reorder the terms: (4 + w)(-1 + w) = 0 Multiply (4 + w) * (-1 + w) (4(-1 + w) + w(-1 + w)) = 0 ((-1 * 4 + w * 4) + w(-1 + w)) = 0 ((-4 + 4w) + w(-1 + w)) = 0 (-4 + 4w + (-1 * w + w * w)) = 0 (-4 + 4w + (-1w + w2)) = 0 Combine like terms: 4w + -1w = 3w (-4 + 3w + w2) = 0 Solving -4 + 3w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-4 + -1w)(1 + -1w) = 0Subproblem 1
Set the factor '(-4 + -1w)' equal to zero and attempt to solve: Simplifying -4 + -1w = 0 Solving -4 + -1w = 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 + -1w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1w = 0 + 4 -1w = 0 + 4 Combine like terms: 0 + 4 = 4 -1w = 4 Divide each side by '-1'. w = -4 Simplifying w = -4Subproblem 2
Set the factor '(1 + -1w)' equal to zero and attempt to solve: Simplifying 1 + -1w = 0 Solving 1 + -1w = 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 + -1w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = 0 + -1 -1w = 0 + -1 Combine like terms: 0 + -1 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1Solution
w = {-4, 1}
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