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Simplifying (3w + -4)(3 + -1w) = 0 Reorder the terms: (-4 + 3w)(3 + -1w) = 0 Multiply (-4 + 3w) * (3 + -1w) (-4(3 + -1w) + 3w * (3 + -1w)) = 0 ((3 * -4 + -1w * -4) + 3w * (3 + -1w)) = 0 ((-12 + 4w) + 3w * (3 + -1w)) = 0 (-12 + 4w + (3 * 3w + -1w * 3w)) = 0 (-12 + 4w + (9w + -3w2)) = 0 Combine like terms: 4w + 9w = 13w (-12 + 13w + -3w2) = 0 Solving -12 + 13w + -3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-3 + w)(4 + -3w) = 0Subproblem 1
Set the factor '(-3 + w)' equal to zero and attempt to solve: Simplifying -3 + w = 0 Solving -3 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + w = 0 + 3 w = 0 + 3 Combine like terms: 0 + 3 = 3 w = 3 Simplifying w = 3Subproblem 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 = {3, 1.333333333}
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