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Simplifying (2y + -5)(7y + -3) = 0 Reorder the terms: (-5 + 2y)(7y + -3) = 0 Reorder the terms: (-5 + 2y)(-3 + 7y) = 0 Multiply (-5 + 2y) * (-3 + 7y) (-5(-3 + 7y) + 2y * (-3 + 7y)) = 0 ((-3 * -5 + 7y * -5) + 2y * (-3 + 7y)) = 0 ((15 + -35y) + 2y * (-3 + 7y)) = 0 (15 + -35y + (-3 * 2y + 7y * 2y)) = 0 (15 + -35y + (-6y + 14y2)) = 0 Combine like terms: -35y + -6y = -41y (15 + -41y + 14y2) = 0 Solving 15 + -41y + 14y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + -7y)(5 + -2y) = 0Subproblem 1
Set the factor '(3 + -7y)' equal to zero and attempt to solve: Simplifying 3 + -7y = 0 Solving 3 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7y = 0 + -3 -7y = 0 + -3 Combine like terms: 0 + -3 = -3 -7y = -3 Divide each side by '-7'. y = 0.4285714286 Simplifying y = 0.4285714286Subproblem 2
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 = 2.5Solution
y = {0.4285714286, 2.5}
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