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Simplifying (9w + 5)(4w + -7) = 0 Reorder the terms: (5 + 9w)(4w + -7) = 0 Reorder the terms: (5 + 9w)(-7 + 4w) = 0 Multiply (5 + 9w) * (-7 + 4w) (5(-7 + 4w) + 9w * (-7 + 4w)) = 0 ((-7 * 5 + 4w * 5) + 9w * (-7 + 4w)) = 0 ((-35 + 20w) + 9w * (-7 + 4w)) = 0 (-35 + 20w + (-7 * 9w + 4w * 9w)) = 0 (-35 + 20w + (-63w + 36w2)) = 0 Combine like terms: 20w + -63w = -43w (-35 + -43w + 36w2) = 0 Solving -35 + -43w + 36w2 = 0 Solving for variable 'w'. Factor a trinomial. (-5 + -9w)(7 + -4w) = 0Subproblem 1
Set the factor '(-5 + -9w)' equal to zero and attempt to solve: Simplifying -5 + -9w = 0 Solving -5 + -9w = 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 + -9w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9w = 0 + 5 -9w = 0 + 5 Combine like terms: 0 + 5 = 5 -9w = 5 Divide each side by '-9'. w = -0.5555555556 Simplifying w = -0.5555555556Subproblem 2
Set the factor '(7 + -4w)' equal to zero and attempt to solve: Simplifying 7 + -4w = 0 Solving 7 + -4w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4w = 0 + -7 -4w = 0 + -7 Combine like terms: 0 + -7 = -7 -4w = -7 Divide each side by '-4'. w = 1.75 Simplifying w = 1.75Solution
w = {-0.5555555556, 1.75}
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