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Simplifying (w + 3)(w + -4) = 0 Reorder the terms: (3 + w)(w + -4) = 0 Reorder the terms: (3 + w)(-4 + w) = 0 Multiply (3 + w) * (-4 + w) (3(-4 + w) + w(-4 + w)) = 0 ((-4 * 3 + w * 3) + w(-4 + w)) = 0 ((-12 + 3w) + w(-4 + w)) = 0 (-12 + 3w + (-4 * w + w * w)) = 0 (-12 + 3w + (-4w + w2)) = 0 Combine like terms: 3w + -4w = -1w (-12 + -1w + w2) = 0 Solving -12 + -1w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-3 + -1w)(4 + -1w) = 0Subproblem 1
Set the factor '(-3 + -1w)' equal to zero and attempt to solve: Simplifying -3 + -1w = 0 Solving -3 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1w = 0 + 3 -1w = 0 + 3 Combine like terms: 0 + 3 = 3 -1w = 3 Divide each side by '-1'. w = -3 Simplifying w = -3Subproblem 2
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 = 4Solution
w = {-3, 4}
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