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Simplifying (6y + -5)(36y2 + 30y + 25) = 0 Reorder the terms: (-5 + 6y)(36y2 + 30y + 25) = 0 Reorder the terms: (-5 + 6y)(25 + 30y + 36y2) = 0 Multiply (-5 + 6y) * (25 + 30y + 36y2) (-5(25 + 30y + 36y2) + 6y * (25 + 30y + 36y2)) = 0 ((25 * -5 + 30y * -5 + 36y2 * -5) + 6y * (25 + 30y + 36y2)) = 0 ((-125 + -150y + -180y2) + 6y * (25 + 30y + 36y2)) = 0 (-125 + -150y + -180y2 + (25 * 6y + 30y * 6y + 36y2 * 6y)) = 0 (-125 + -150y + -180y2 + (150y + 180y2 + 216y3)) = 0 Reorder the terms: (-125 + -150y + 150y + -180y2 + 180y2 + 216y3) = 0 Combine like terms: -150y + 150y = 0 (-125 + 0 + -180y2 + 180y2 + 216y3) = 0 (-125 + -180y2 + 180y2 + 216y3) = 0 Combine like terms: -180y2 + 180y2 = 0 (-125 + 0 + 216y3) = 0 (-125 + 216y3) = 0 Solving -125 + 216y3 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + 216y3 = 0 + 125 Combine like terms: -125 + 125 = 0 0 + 216y3 = 0 + 125 216y3 = 0 + 125 Combine like terms: 0 + 125 = 125 216y3 = 125 Divide each side by '216'. y3 = 0.5787037037 Simplifying y3 = 0.5787037037 Reorder the terms: -0.5787037037 + y3 = 0.5787037037 + -0.5787037037 Combine like terms: 0.5787037037 + -0.5787037037 = 0.0000000000 -0.5787037037 + y3 = 0.0000000000 The solution to this equation could not be determined.
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