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Simplifying (5y + -6)(25y2 + 30y + 36) = 0 Reorder the terms: (-6 + 5y)(25y2 + 30y + 36) = 0 Reorder the terms: (-6 + 5y)(36 + 30y + 25y2) = 0 Multiply (-6 + 5y) * (36 + 30y + 25y2) (-6(36 + 30y + 25y2) + 5y * (36 + 30y + 25y2)) = 0 ((36 * -6 + 30y * -6 + 25y2 * -6) + 5y * (36 + 30y + 25y2)) = 0 ((-216 + -180y + -150y2) + 5y * (36 + 30y + 25y2)) = 0 (-216 + -180y + -150y2 + (36 * 5y + 30y * 5y + 25y2 * 5y)) = 0 (-216 + -180y + -150y2 + (180y + 150y2 + 125y3)) = 0 Reorder the terms: (-216 + -180y + 180y + -150y2 + 150y2 + 125y3) = 0 Combine like terms: -180y + 180y = 0 (-216 + 0 + -150y2 + 150y2 + 125y3) = 0 (-216 + -150y2 + 150y2 + 125y3) = 0 Combine like terms: -150y2 + 150y2 = 0 (-216 + 0 + 125y3) = 0 (-216 + 125y3) = 0 Solving -216 + 125y3 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '216' to each side of the equation. -216 + 216 + 125y3 = 0 + 216 Combine like terms: -216 + 216 = 0 0 + 125y3 = 0 + 216 125y3 = 0 + 216 Combine like terms: 0 + 216 = 216 125y3 = 216 Divide each side by '125'. y3 = 1.728 Simplifying y3 = 1.728 Reorder the terms: -1.728 + y3 = 1.728 + -1.728 Combine like terms: 1.728 + -1.728 = 0.000 -1.728 + y3 = 0.000 The solution to this equation could not be determined.
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