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Simplifying (6y + 19)(5y + 21) = 0 Reorder the terms: (19 + 6y)(5y + 21) = 0 Reorder the terms: (19 + 6y)(21 + 5y) = 0 Multiply (19 + 6y) * (21 + 5y) (19(21 + 5y) + 6y * (21 + 5y)) = 0 ((21 * 19 + 5y * 19) + 6y * (21 + 5y)) = 0 ((399 + 95y) + 6y * (21 + 5y)) = 0 (399 + 95y + (21 * 6y + 5y * 6y)) = 0 (399 + 95y + (126y + 30y2)) = 0 Combine like terms: 95y + 126y = 221y (399 + 221y + 30y2) = 0 Solving 399 + 221y + 30y2 = 0 Solving for variable 'y'. Factor a trinomial. (21 + 5y)(19 + 6y) = 0Subproblem 1
Set the factor '(21 + 5y)' equal to zero and attempt to solve: Simplifying 21 + 5y = 0 Solving 21 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 5y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 5y = 0 + -21 5y = 0 + -21 Combine like terms: 0 + -21 = -21 5y = -21 Divide each side by '5'. y = -4.2 Simplifying y = -4.2Subproblem 2
Set the factor '(19 + 6y)' equal to zero and attempt to solve: Simplifying 19 + 6y = 0 Solving 19 + 6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 6y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 6y = 0 + -19 6y = 0 + -19 Combine like terms: 0 + -19 = -19 6y = -19 Divide each side by '6'. y = -3.166666667 Simplifying y = -3.166666667Solution
y = {-4.2, -3.166666667}
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