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Simplifying (w + -4)(3w + 5) = 0 Reorder the terms: (-4 + w)(3w + 5) = 0 Reorder the terms: (-4 + w)(5 + 3w) = 0 Multiply (-4 + w) * (5 + 3w) (-4(5 + 3w) + w(5 + 3w)) = 0 ((5 * -4 + 3w * -4) + w(5 + 3w)) = 0 ((-20 + -12w) + w(5 + 3w)) = 0 (-20 + -12w + (5 * w + 3w * w)) = 0 (-20 + -12w + (5w + 3w2)) = 0 Combine like terms: -12w + 5w = -7w (-20 + -7w + 3w2) = 0 Solving -20 + -7w + 3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-5 + -3w)(4 + -1w) = 0Subproblem 1
Set the factor '(-5 + -3w)' equal to zero and attempt to solve: Simplifying -5 + -3w = 0 Solving -5 + -3w = 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 + -3w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3w = 0 + 5 -3w = 0 + 5 Combine like terms: 0 + 5 = 5 -3w = 5 Divide each side by '-3'. w = -1.666666667 Simplifying w = -1.666666667Subproblem 2
Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 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 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4Solution
w = {-1.666666667, 4}
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