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Simplifying (2y + 5)(7y + -1) = 0 Reorder the terms: (5 + 2y)(7y + -1) = 0 Reorder the terms: (5 + 2y)(-1 + 7y) = 0 Multiply (5 + 2y) * (-1 + 7y) (5(-1 + 7y) + 2y * (-1 + 7y)) = 0 ((-1 * 5 + 7y * 5) + 2y * (-1 + 7y)) = 0 ((-5 + 35y) + 2y * (-1 + 7y)) = 0 (-5 + 35y + (-1 * 2y + 7y * 2y)) = 0 (-5 + 35y + (-2y + 14y2)) = 0 Combine like terms: 35y + -2y = 33y (-5 + 33y + 14y2) = 0 Solving -5 + 33y + 14y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + -2y)(1 + -7y) = 0Subproblem 1
Set the factor '(-5 + -2y)' equal to zero and attempt to solve: Simplifying -5 + -2y = 0 Solving -5 + -2y = 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 + -2y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2y = 0 + 5 -2y = 0 + 5 Combine like terms: 0 + 5 = 5 -2y = 5 Divide each side by '-2'. y = -2.5 Simplifying y = -2.5Subproblem 2
Set the factor '(1 + -7y)' equal to zero and attempt to solve: Simplifying 1 + -7y = 0 Solving 1 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7y = 0 + -1 -7y = 0 + -1 Combine like terms: 0 + -1 = -1 -7y = -1 Divide each side by '-7'. y = 0.1428571429 Simplifying y = 0.1428571429Solution
y = {-2.5, 0.1428571429}
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