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Simplifying (w + -6)(w + 2) = 0 Reorder the terms: (-6 + w)(w + 2) = 0 Reorder the terms: (-6 + w)(2 + w) = 0 Multiply (-6 + w) * (2 + w) (-6(2 + w) + w(2 + w)) = 0 ((2 * -6 + w * -6) + w(2 + w)) = 0 ((-12 + -6w) + w(2 + w)) = 0 (-12 + -6w + (2 * w + w * w)) = 0 (-12 + -6w + (2w + w2)) = 0 Combine like terms: -6w + 2w = -4w (-12 + -4w + w2) = 0 Solving -12 + -4w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-2 + -1w)(6 + -1w) = 0Subproblem 1
Set the factor '(-2 + -1w)' equal to zero and attempt to solve: Simplifying -2 + -1w = 0 Solving -2 + -1w = 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 + -1w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1w = 0 + 2 -1w = 0 + 2 Combine like terms: 0 + 2 = 2 -1w = 2 Divide each side by '-1'. w = -2 Simplifying w = -2Subproblem 2
Set the factor '(6 + -1w)' equal to zero and attempt to solve: Simplifying 6 + -1w = 0 Solving 6 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 0 + -6 -1w = 0 + -6 Combine like terms: 0 + -6 = -6 -1w = -6 Divide each side by '-1'. w = 6 Simplifying w = 6Solution
w = {-2, 6}
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