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Simplifying (4w + 13)(w + 2) = 0 Reorder the terms: (13 + 4w)(w + 2) = 0 Reorder the terms: (13 + 4w)(2 + w) = 0 Multiply (13 + 4w) * (2 + w) (13(2 + w) + 4w * (2 + w)) = 0 ((2 * 13 + w * 13) + 4w * (2 + w)) = 0 ((26 + 13w) + 4w * (2 + w)) = 0 (26 + 13w + (2 * 4w + w * 4w)) = 0 (26 + 13w + (8w + 4w2)) = 0 Combine like terms: 13w + 8w = 21w (26 + 21w + 4w2) = 0 Solving 26 + 21w + 4w2 = 0 Solving for variable 'w'. Factor a trinomial. (13 + 4w)(2 + w) = 0Subproblem 1
Set the factor '(13 + 4w)' equal to zero and attempt to solve: Simplifying 13 + 4w = 0 Solving 13 + 4w = 0 Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4w = 0 + -13 4w = 0 + -13 Combine like terms: 0 + -13 = -13 4w = -13 Divide each side by '4'. w = -3.25 Simplifying w = -3.25Subproblem 2
Set the factor '(2 + w)' equal to zero and attempt to solve: Simplifying 2 + w = 0 Solving 2 + w = 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 + w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + w = 0 + -2 w = 0 + -2 Combine like terms: 0 + -2 = -2 w = -2 Simplifying w = -2Solution
w = {-3.25, -2}
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