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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 = -31y (-399 + -31y + 30y2) = 0 Solving -399 + -31y + 30y2 = 0 Solving for variable 'y'. Factor a trinomial. (-19 + -6y)(21 + -5y) = 0Subproblem 1
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 = -3.166666667Subproblem 2
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 = 4.2Solution
y = {-3.166666667, 4.2}
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