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Simplifying (5y + 9)(3y + -4) = 0 Reorder the terms: (9 + 5y)(3y + -4) = 0 Reorder the terms: (9 + 5y)(-4 + 3y) = 0 Multiply (9 + 5y) * (-4 + 3y) (9(-4 + 3y) + 5y * (-4 + 3y)) = 0 ((-4 * 9 + 3y * 9) + 5y * (-4 + 3y)) = 0 ((-36 + 27y) + 5y * (-4 + 3y)) = 0 (-36 + 27y + (-4 * 5y + 3y * 5y)) = 0 (-36 + 27y + (-20y + 15y2)) = 0 Combine like terms: 27y + -20y = 7y (-36 + 7y + 15y2) = 0 Solving -36 + 7y + 15y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + -5y)(4 + -3y) = 0Subproblem 1
Set the factor '(-9 + -5y)' equal to zero and attempt to solve: Simplifying -9 + -5y = 0 Solving -9 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -5y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5y = 0 + 9 -5y = 0 + 9 Combine like terms: 0 + 9 = 9 -5y = 9 Divide each side by '-5'. y = -1.8 Simplifying y = -1.8Subproblem 2
Set the factor '(4 + -3y)' equal to zero and attempt to solve: Simplifying 4 + -3y = 0 Solving 4 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 0 + -4 -3y = 0 + -4 Combine like terms: 0 + -4 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333Solution
y = {-1.8, 1.333333333}
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