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Simplifying (3w + -2)(4w + -5) = 0 Reorder the terms: (-2 + 3w)(4w + -5) = 0 Reorder the terms: (-2 + 3w)(-5 + 4w) = 0 Multiply (-2 + 3w) * (-5 + 4w) (-2(-5 + 4w) + 3w * (-5 + 4w)) = 0 ((-5 * -2 + 4w * -2) + 3w * (-5 + 4w)) = 0 ((10 + -8w) + 3w * (-5 + 4w)) = 0 (10 + -8w + (-5 * 3w + 4w * 3w)) = 0 (10 + -8w + (-15w + 12w2)) = 0 Combine like terms: -8w + -15w = -23w (10 + -23w + 12w2) = 0 Solving 10 + -23w + 12w2 = 0 Solving for variable 'w'. Factor a trinomial. (2 + -3w)(5 + -4w) = 0Subproblem 1
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 = 0.6666666667Subproblem 2
Set the factor '(5 + -4w)' equal to zero and attempt to solve: Simplifying 5 + -4w = 0 Solving 5 + -4w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4w = 0 + -5 -4w = 0 + -5 Combine like terms: 0 + -5 = -5 -4w = -5 Divide each side by '-4'. w = 1.25 Simplifying w = 1.25Solution
w = {0.6666666667, 1.25}
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