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Simplifying (w + -7)(w + 2) = 0 Reorder the terms: (-7 + w)(w + 2) = 0 Reorder the terms: (-7 + w)(2 + w) = 0 Multiply (-7 + w) * (2 + w) (-7(2 + w) + w(2 + w)) = 0 ((2 * -7 + w * -7) + w(2 + w)) = 0 ((-14 + -7w) + w(2 + w)) = 0 (-14 + -7w + (2 * w + w * w)) = 0 (-14 + -7w + (2w + w2)) = 0 Combine like terms: -7w + 2w = -5w (-14 + -5w + w2) = 0 Solving -14 + -5w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-2 + -1w)(7 + -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 '(7 + -1w)' equal to zero and attempt to solve: Simplifying 7 + -1w = 0 Solving 7 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 0 + -7 -1w = 0 + -7 Combine like terms: 0 + -7 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7Solution
w = {-2, 7}
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