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Simplifying (y + -4)(3y + -5) = 0 Reorder the terms: (-4 + y)(3y + -5) = 0 Reorder the terms: (-4 + y)(-5 + 3y) = 0 Multiply (-4 + y) * (-5 + 3y) (-4(-5 + 3y) + y(-5 + 3y)) = 0 ((-5 * -4 + 3y * -4) + y(-5 + 3y)) = 0 ((20 + -12y) + y(-5 + 3y)) = 0 (20 + -12y + (-5 * y + 3y * y)) = 0 (20 + -12y + (-5y + 3y2)) = 0 Combine like terms: -12y + -5y = -17y (20 + -17y + 3y2) = 0 Solving 20 + -17y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -3y)(4 + -1y) = 0Subproblem 1
Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {1.666666667, 4}
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