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Simplifying (8 + -5y)(7 + -6y) = 0 Multiply (8 + -5y) * (7 + -6y) (8(7 + -6y) + -5y * (7 + -6y)) = 0 ((7 * 8 + -6y * 8) + -5y * (7 + -6y)) = 0 ((56 + -48y) + -5y * (7 + -6y)) = 0 (56 + -48y + (7 * -5y + -6y * -5y)) = 0 (56 + -48y + (-35y + 30y2)) = 0 Combine like terms: -48y + -35y = -83y (56 + -83y + 30y2) = 0 Solving 56 + -83y + 30y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + -6y)(8 + -5y) = 0Subproblem 1
Set the factor '(7 + -6y)' equal to zero and attempt to solve: Simplifying 7 + -6y = 0 Solving 7 + -6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6y = 0 + -7 -6y = 0 + -7 Combine like terms: 0 + -7 = -7 -6y = -7 Divide each side by '-6'. y = 1.166666667 Simplifying y = 1.166666667Subproblem 2
Set the factor '(8 + -5y)' equal to zero and attempt to solve: Simplifying 8 + -5y = 0 Solving 8 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5y = 0 + -8 -5y = 0 + -8 Combine like terms: 0 + -8 = -8 -5y = -8 Divide each side by '-5'. y = 1.6 Simplifying y = 1.6Solution
y = {1.166666667, 1.6}
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