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Simplifying (3y + 5)(7y + -5) = 0 Reorder the terms: (5 + 3y)(7y + -5) = 0 Reorder the terms: (5 + 3y)(-5 + 7y) = 0 Multiply (5 + 3y) * (-5 + 7y) (5(-5 + 7y) + 3y * (-5 + 7y)) = 0 ((-5 * 5 + 7y * 5) + 3y * (-5 + 7y)) = 0 ((-25 + 35y) + 3y * (-5 + 7y)) = 0 (-25 + 35y + (-5 * 3y + 7y * 3y)) = 0 (-25 + 35y + (-15y + 21y2)) = 0 Combine like terms: 35y + -15y = 20y (-25 + 20y + 21y2) = 0 Solving -25 + 20y + 21y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + -3y)(5 + -7y) = 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 '(5 + -7y)' equal to zero and attempt to solve: Simplifying 5 + -7y = 0 Solving 5 + -7y = 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 + -7y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7y = 0 + -5 -7y = 0 + -5 Combine like terms: 0 + -5 = -5 -7y = -5 Divide each side by '-7'. y = 0.7142857143 Simplifying y = 0.7142857143Solution
y = {-1.666666667, 0.7142857143}
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