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Simplifying (w + -3)(w + -7) = 0 Reorder the terms: (-3 + w)(w + -7) = 0 Reorder the terms: (-3 + w)(-7 + w) = 0 Multiply (-3 + w) * (-7 + w) (-3(-7 + w) + w(-7 + w)) = 0 ((-7 * -3 + w * -3) + w(-7 + w)) = 0 ((21 + -3w) + w(-7 + w)) = 0 (21 + -3w + (-7 * w + w * w)) = 0 (21 + -3w + (-7w + w2)) = 0 Combine like terms: -3w + -7w = -10w (21 + -10w + w2) = 0 Solving 21 + -10w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (3 + -1w)(7 + -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 '(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 = {3, 7}
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