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Simplifying (3y + -5)(4y + -7) = 0 Reorder the terms: (-5 + 3y)(4y + -7) = 0 Reorder the terms: (-5 + 3y)(-7 + 4y) = 0 Multiply (-5 + 3y) * (-7 + 4y) (-5(-7 + 4y) + 3y * (-7 + 4y)) = 0 ((-7 * -5 + 4y * -5) + 3y * (-7 + 4y)) = 0 ((35 + -20y) + 3y * (-7 + 4y)) = 0 (35 + -20y + (-7 * 3y + 4y * 3y)) = 0 (35 + -20y + (-21y + 12y2)) = 0 Combine like terms: -20y + -21y = -41y (35 + -41y + 12y2) = 0 Solving 35 + -41y + 12y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -3y)(7 + -4y) = 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 '(7 + -4y)' equal to zero and attempt to solve: Simplifying 7 + -4y = 0 Solving 7 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4y = 0 + -7 -4y = 0 + -7 Combine like terms: 0 + -7 = -7 -4y = -7 Divide each side by '-4'. y = 1.75 Simplifying y = 1.75Solution
y = {1.666666667, 1.75}
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