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Simplifying (w + -8)(w + -3) = 0 Reorder the terms: (-8 + w)(w + -3) = 0 Reorder the terms: (-8 + w)(-3 + w) = 0 Multiply (-8 + w) * (-3 + w) (-8(-3 + w) + w(-3 + w)) = 0 ((-3 * -8 + w * -8) + w(-3 + w)) = 0 ((24 + -8w) + w(-3 + w)) = 0 (24 + -8w + (-3 * w + w * w)) = 0 (24 + -8w + (-3w + w2)) = 0 Combine like terms: -8w + -3w = -11w (24 + -11w + w2) = 0 Solving 24 + -11w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (3 + -1w)(8 + -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 '(8 + -1w)' equal to zero and attempt to solve: Simplifying 8 + -1w = 0 Solving 8 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 0 + -8 -1w = 0 + -8 Combine like terms: 0 + -8 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8Solution
w = {3, 8}
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