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Simplifying (9 + -1w)(3w + -4) = 0 Reorder the terms: (9 + -1w)(-4 + 3w) = 0 Multiply (9 + -1w) * (-4 + 3w) (9(-4 + 3w) + -1w * (-4 + 3w)) = 0 ((-4 * 9 + 3w * 9) + -1w * (-4 + 3w)) = 0 ((-36 + 27w) + -1w * (-4 + 3w)) = 0 (-36 + 27w + (-4 * -1w + 3w * -1w)) = 0 (-36 + 27w + (4w + -3w2)) = 0 Combine like terms: 27w + 4w = 31w (-36 + 31w + -3w2) = 0 Solving -36 + 31w + -3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-9 + w)(4 + -3w) = 0Subproblem 1
Set the factor '(-9 + w)' equal to zero and attempt to solve: Simplifying -9 + w = 0 Solving -9 + w = 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 + w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + w = 0 + 9 w = 0 + 9 Combine like terms: 0 + 9 = 9 w = 9 Simplifying w = 9Subproblem 2
Set the factor '(4 + -3w)' equal to zero and attempt to solve: Simplifying 4 + -3w = 0 Solving 4 + -3w = 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 + -3w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3w = 0 + -4 -3w = 0 + -4 Combine like terms: 0 + -4 = -4 -3w = -4 Divide each side by '-3'. w = 1.333333333 Simplifying w = 1.333333333Solution
w = {9, 1.333333333}
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