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Simplifying (w + 4)(33w + 4) = 0 Reorder the terms: (4 + w)(33w + 4) = 0 Reorder the terms: (4 + w)(4 + 33w) = 0 Multiply (4 + w) * (4 + 33w) (4(4 + 33w) + w(4 + 33w)) = 0 ((4 * 4 + 33w * 4) + w(4 + 33w)) = 0 ((16 + 132w) + w(4 + 33w)) = 0 (16 + 132w + (4 * w + 33w * w)) = 0 (16 + 132w + (4w + 33w2)) = 0 Combine like terms: 132w + 4w = 136w (16 + 136w + 33w2) = 0 Solving 16 + 136w + 33w2 = 0 Solving for variable 'w'. Factor a trinomial. (4 + w)(4 + 33w) = 0Subproblem 1
Set the factor '(4 + w)' equal to zero and attempt to solve: Simplifying 4 + w = 0 Solving 4 + w = 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 + w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + w = 0 + -4 w = 0 + -4 Combine like terms: 0 + -4 = -4 w = -4 Simplifying w = -4Subproblem 2
Set the factor '(4 + 33w)' equal to zero and attempt to solve: Simplifying 4 + 33w = 0 Solving 4 + 33w = 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 + 33w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 33w = 0 + -4 33w = 0 + -4 Combine like terms: 0 + -4 = -4 33w = -4 Divide each side by '33'. w = -0.1212121212 Simplifying w = -0.1212121212Solution
w = {-4, -0.1212121212}
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