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Simplifying (5y + 24)(7y + 26) = 0 Reorder the terms: (24 + 5y)(7y + 26) = 0 Reorder the terms: (24 + 5y)(26 + 7y) = 0 Multiply (24 + 5y) * (26 + 7y) (24(26 + 7y) + 5y * (26 + 7y)) = 0 ((26 * 24 + 7y * 24) + 5y * (26 + 7y)) = 0 ((624 + 168y) + 5y * (26 + 7y)) = 0 (624 + 168y + (26 * 5y + 7y * 5y)) = 0 (624 + 168y + (130y + 35y2)) = 0 Combine like terms: 168y + 130y = 298y (624 + 298y + 35y2) = 0 Solving 624 + 298y + 35y2 = 0 Solving for variable 'y'. Factor a trinomial. (24 + 5y)(26 + 7y) = 0Subproblem 1
Set the factor '(24 + 5y)' equal to zero and attempt to solve: Simplifying 24 + 5y = 0 Solving 24 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 5y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 5y = 0 + -24 5y = 0 + -24 Combine like terms: 0 + -24 = -24 5y = -24 Divide each side by '5'. y = -4.8 Simplifying y = -4.8Subproblem 2
Set the factor '(26 + 7y)' equal to zero and attempt to solve: Simplifying 26 + 7y = 0 Solving 26 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 7y = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 7y = 0 + -26 7y = 0 + -26 Combine like terms: 0 + -26 = -26 7y = -26 Divide each side by '7'. y = -3.714285714 Simplifying y = -3.714285714Solution
y = {-4.8, -3.714285714}
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