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Simplifying (9 + -1w)(-3w + 8) = 0 Reorder the terms: (9 + -1w)(8 + -3w) = 0 Multiply (9 + -1w) * (8 + -3w) (9(8 + -3w) + -1w * (8 + -3w)) = 0 ((8 * 9 + -3w * 9) + -1w * (8 + -3w)) = 0 ((72 + -27w) + -1w * (8 + -3w)) = 0 (72 + -27w + (8 * -1w + -3w * -1w)) = 0 (72 + -27w + (-8w + 3w2)) = 0 Combine like terms: -27w + -8w = -35w (72 + -35w + 3w2) = 0 Solving 72 + -35w + 3w2 = 0 Solving for variable 'w'. Factor a trinomial. (8 + -3w)(9 + -1w) = 0Subproblem 1
Set the factor '(8 + -3w)' equal to zero and attempt to solve: Simplifying 8 + -3w = 0 Solving 8 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3w = 0 + -8 -3w = 0 + -8 Combine like terms: 0 + -8 = -8 -3w = -8 Divide each side by '-3'. w = 2.666666667 Simplifying w = 2.666666667Subproblem 2
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 = 9Solution
w = {2.666666667, 9}
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