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Simplifying (9 + -1w)(3w + 2) = 0 Reorder the terms: (9 + -1w)(2 + 3w) = 0 Multiply (9 + -1w) * (2 + 3w) (9(2 + 3w) + -1w * (2 + 3w)) = 0 ((2 * 9 + 3w * 9) + -1w * (2 + 3w)) = 0 ((18 + 27w) + -1w * (2 + 3w)) = 0 (18 + 27w + (2 * -1w + 3w * -1w)) = 0 (18 + 27w + (-2w + -3w2)) = 0 Combine like terms: 27w + -2w = 25w (18 + 25w + -3w2) = 0 Solving 18 + 25w + -3w2 = 0 Solving for variable 'w'. Factor a trinomial. (9 + -1w)(2 + 3w) = 0Subproblem 1
Set the factor '(9 + -1w)' equal to zero and attempt to solve: Simplifying 9 + -1w = 0 Solving 9 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 0 + -9 -1w = 0 + -9 Combine like terms: 0 + -9 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9Subproblem 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 = {9, -0.6666666667}
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