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Simplifying (4w + 3)(4 + -1w) = 0 Reorder the terms: (3 + 4w)(4 + -1w) = 0 Multiply (3 + 4w) * (4 + -1w) (3(4 + -1w) + 4w * (4 + -1w)) = 0 ((4 * 3 + -1w * 3) + 4w * (4 + -1w)) = 0 ((12 + -3w) + 4w * (4 + -1w)) = 0 (12 + -3w + (4 * 4w + -1w * 4w)) = 0 (12 + -3w + (16w + -4w2)) = 0 Combine like terms: -3w + 16w = 13w (12 + 13w + -4w2) = 0 Solving 12 + 13w + -4w2 = 0 Solving for variable 'w'. Factor a trinomial. (4 + -1w)(3 + 4w) = 0Subproblem 1
Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4Subproblem 2
Set the factor '(3 + 4w)' equal to zero and attempt to solve: Simplifying 3 + 4w = 0 Solving 3 + 4w = 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 + 4w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4w = 0 + -3 4w = 0 + -3 Combine like terms: 0 + -3 = -3 4w = -3 Divide each side by '4'. w = -0.75 Simplifying w = -0.75Solution
w = {4, -0.75}
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