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Simplifying (w + 12)(w + -14) = 0 Reorder the terms: (12 + w)(w + -14) = 0 Reorder the terms: (12 + w)(-14 + w) = 0 Multiply (12 + w) * (-14 + w) (12(-14 + w) + w(-14 + w)) = 0 ((-14 * 12 + w * 12) + w(-14 + w)) = 0 ((-168 + 12w) + w(-14 + w)) = 0 (-168 + 12w + (-14 * w + w * w)) = 0 (-168 + 12w + (-14w + w2)) = 0 Combine like terms: 12w + -14w = -2w (-168 + -2w + w2) = 0 Solving -168 + -2w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-12 + -1w)(14 + -1w) = 0Subproblem 1
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 = -12Subproblem 2
Set the factor '(14 + -1w)' equal to zero and attempt to solve: Simplifying 14 + -1w = 0 Solving 14 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1w = 0 + -14 -1w = 0 + -14 Combine like terms: 0 + -14 = -14 -1w = -14 Divide each side by '-1'. w = 14 Simplifying w = 14Solution
w = {-12, 14}
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