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Simplifying (w + 10)(w + -12) = 0 Reorder the terms: (10 + w)(w + -12) = 0 Reorder the terms: (10 + w)(-12 + w) = 0 Multiply (10 + w) * (-12 + w) (10(-12 + w) + w(-12 + w)) = 0 ((-12 * 10 + w * 10) + w(-12 + w)) = 0 ((-120 + 10w) + w(-12 + w)) = 0 (-120 + 10w + (-12 * w + w * w)) = 0 (-120 + 10w + (-12w + w2)) = 0 Combine like terms: 10w + -12w = -2w (-120 + -2w + w2) = 0 Solving -120 + -2w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-10 + -1w)(12 + -1w) = 0Subproblem 1
Set the factor '(-10 + -1w)' equal to zero and attempt to solve: Simplifying -10 + -1w = 0 Solving -10 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1w = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1w = 0 + 10 -1w = 0 + 10 Combine like terms: 0 + 10 = 10 -1w = 10 Divide each side by '-1'. w = -10 Simplifying w = -10Subproblem 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 = {-10, 12}
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