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Simplifying (3w + 4)(w + -2) = 0 Reorder the terms: (4 + 3w)(w + -2) = 0 Reorder the terms: (4 + 3w)(-2 + w) = 0 Multiply (4 + 3w) * (-2 + w) (4(-2 + w) + 3w * (-2 + w)) = 0 ((-2 * 4 + w * 4) + 3w * (-2 + w)) = 0 ((-8 + 4w) + 3w * (-2 + w)) = 0 (-8 + 4w + (-2 * 3w + w * 3w)) = 0 (-8 + 4w + (-6w + 3w2)) = 0 Combine like terms: 4w + -6w = -2w (-8 + -2w + 3w2) = 0 Solving -8 + -2w + 3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-4 + -3w)(2 + -1w) = 0Subproblem 1
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 = -1.333333333Subproblem 2
Set the factor '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 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 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Solution
w = {-1.333333333, 2}
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