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Simplifying (3y + -8)(7y + -6) = 0 Reorder the terms: (-8 + 3y)(7y + -6) = 0 Reorder the terms: (-8 + 3y)(-6 + 7y) = 0 Multiply (-8 + 3y) * (-6 + 7y) (-8(-6 + 7y) + 3y * (-6 + 7y)) = 0 ((-6 * -8 + 7y * -8) + 3y * (-6 + 7y)) = 0 ((48 + -56y) + 3y * (-6 + 7y)) = 0 (48 + -56y + (-6 * 3y + 7y * 3y)) = 0 (48 + -56y + (-18y + 21y2)) = 0 Combine like terms: -56y + -18y = -74y (48 + -74y + 21y2) = 0 Solving 48 + -74y + 21y2 = 0 Solving for variable 'y'. Factor a trinomial. (6 + -7y)(8 + -3y) = 0Subproblem 1
Set the factor '(6 + -7y)' equal to zero and attempt to solve: Simplifying 6 + -7y = 0 Solving 6 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7y = 0 + -6 -7y = 0 + -6 Combine like terms: 0 + -6 = -6 -7y = -6 Divide each side by '-7'. y = 0.8571428571 Simplifying y = 0.8571428571Subproblem 2
Set the factor '(8 + -3y)' equal to zero and attempt to solve: Simplifying 8 + -3y = 0 Solving 8 + -3y = 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 + -3y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3y = 0 + -8 -3y = 0 + -8 Combine like terms: 0 + -8 = -8 -3y = -8 Divide each side by '-3'. y = 2.666666667 Simplifying y = 2.666666667Solution
y = {0.8571428571, 2.666666667}
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