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Simplifying (w + 3)(w + -12) = 0 Reorder the terms: (3 + w)(w + -12) = 0 Reorder the terms: (3 + w)(-12 + w) = 0 Multiply (3 + w) * (-12 + w) (3(-12 + w) + w(-12 + w)) = 0 ((-12 * 3 + w * 3) + w(-12 + w)) = 0 ((-36 + 3w) + w(-12 + w)) = 0 (-36 + 3w + (-12 * w + w * w)) = 0 (-36 + 3w + (-12w + w2)) = 0 Combine like terms: 3w + -12w = -9w (-36 + -9w + w2) = 0 Solving -36 + -9w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-3 + -1w)(12 + -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 '(12 + -1w)' equal to zero and attempt to solve: Simplifying 12 + -1w = 0 Solving 12 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = 0 + -12 -1w = 0 + -12 Combine like terms: 0 + -12 = -12 -1w = -12 Divide each side by '-1'. w = 12 Simplifying w = 12Solution
w = {-3, 12}
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