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Simplifying (5 + w)(3w + 2) = 0 Reorder the terms: (5 + w)(2 + 3w) = 0 Multiply (5 + w) * (2 + 3w) (5(2 + 3w) + w(2 + 3w)) = 0 ((2 * 5 + 3w * 5) + w(2 + 3w)) = 0 ((10 + 15w) + w(2 + 3w)) = 0 (10 + 15w + (2 * w + 3w * w)) = 0 (10 + 15w + (2w + 3w2)) = 0 Combine like terms: 15w + 2w = 17w (10 + 17w + 3w2) = 0 Solving 10 + 17w + 3w2 = 0 Solving for variable 'w'. Factor a trinomial. (5 + w)(2 + 3w) = 0Subproblem 1
Set the factor '(5 + w)' equal to zero and attempt to solve: Simplifying 5 + w = 0 Solving 5 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + w = 0 + -5 w = 0 + -5 Combine like terms: 0 + -5 = -5 w = -5 Simplifying w = -5Subproblem 2
Set the factor '(2 + 3w)' equal to zero and attempt to solve: Simplifying 2 + 3w = 0 Solving 2 + 3w = 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 + 3w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3w = 0 + -2 3w = 0 + -2 Combine like terms: 0 + -2 = -2 3w = -2 Divide each side by '3'. w = -0.6666666667 Simplifying w = -0.6666666667Solution
w = {-5, -0.6666666667}
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