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Simplifying (7y + 26)(8y + 23) = 0 Reorder the terms: (26 + 7y)(8y + 23) = 0 Reorder the terms: (26 + 7y)(23 + 8y) = 0 Multiply (26 + 7y) * (23 + 8y) (26(23 + 8y) + 7y * (23 + 8y)) = 0 ((23 * 26 + 8y * 26) + 7y * (23 + 8y)) = 0 ((598 + 208y) + 7y * (23 + 8y)) = 0 (598 + 208y + (23 * 7y + 8y * 7y)) = 0 (598 + 208y + (161y + 56y2)) = 0 Combine like terms: 208y + 161y = 369y (598 + 369y + 56y2) = 0 Solving 598 + 369y + 56y2 = 0 Solving for variable 'y'. Factor a trinomial. (26 + 7y)(23 + 8y) = 0Subproblem 1
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 = -3.714285714Subproblem 2
Set the factor '(23 + 8y)' equal to zero and attempt to solve: Simplifying 23 + 8y = 0 Solving 23 + 8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 8y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 8y = 0 + -23 8y = 0 + -23 Combine like terms: 0 + -23 = -23 8y = -23 Divide each side by '8'. y = -2.875 Simplifying y = -2.875Solution
y = {-3.714285714, -2.875}
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