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Simplifying Y2(y + 4) + 6(y + 4) = 0 Reorder the terms: Y2(4 + y) + 6(y + 4) = 0 (4 * Y2 + y * Y2) + 6(y + 4) = 0 (4Y2 + yY2) + 6(y + 4) = 0 Reorder the terms: 4Y2 + yY2 + 6(4 + y) = 0 4Y2 + yY2 + (4 * 6 + y * 6) = 0 4Y2 + yY2 + (24 + 6y) = 0 Reorder the terms: 24 + 4Y2 + 6y + yY2 = 0 Solving 24 + 4Y2 + 6y + yY2 = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 4Y2 + 6y + -24 + yY2 = 0 + -24 Reorder the terms: 24 + -24 + 4Y2 + 6y + yY2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 4Y2 + 6y + yY2 = 0 + -24 4Y2 + 6y + yY2 = 0 + -24 Combine like terms: 0 + -24 = -24 4Y2 + 6y + yY2 = -24 Add '-6y' to each side of the equation. 4Y2 + 6y + -6y + yY2 = -24 + -6y Combine like terms: 6y + -6y = 0 4Y2 + 0 + yY2 = -24 + -6y 4Y2 + yY2 = -24 + -6y Reorder the terms: 24 + 4Y2 + 6y + yY2 = -24 + -6y + 24 + 6y Reorder the terms: 24 + 4Y2 + 6y + yY2 = -24 + 24 + -6y + 6y Combine like terms: -24 + 24 = 0 24 + 4Y2 + 6y + yY2 = 0 + -6y + 6y 24 + 4Y2 + 6y + yY2 = -6y + 6y Combine like terms: -6y + 6y = 0 24 + 4Y2 + 6y + yY2 = 0 The solution to this equation could not be determined.
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