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Simplifying (2x2) + (3y2) + 6y + -27 = 0 Reorder the terms: -27 + (2x2) + 6y + (3y2) = 0 Solving -27 + (2x2) + 6y + (3y2) = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + (2x2) + 6y + 27 + (3y2) = 0 + 27 Reorder the terms: -27 + 27 + (2x2) + 6y + (3y2) = 0 + 27 Combine like terms: -27 + 27 = 0 0 + (2x2) + 6y + (3y2) = 0 + 27 (2x2) + 6y + (3y2) = 0 + 27 Combine like terms: 0 + 27 = 27 (2x2) + 6y + (3y2) = 27 Add '-6y' to each side of the equation. (2x2) + 6y + -6y + (3y2) = 27 + -6y Combine like terms: 6y + -6y = 0 (2x2) + 0 + (3y2) = 27 + -6y (2x2) + (3y2) = 27 + -6y Add '(-3y2)' to each side of the equation. (2x2) + (3y2) + (-3y2) = 27 + -6y + (-3y2) Combine like terms: (3y2) + (-3y2) = 0 (2x2) + 0 = 27 + -6y + (-3y2) (2x2) = 27 + -6y + (-3y2) Divide each side by '2'. x2 = 13.5 + -3y + (-1.5y2) Simplifying x2 = 13.5 + -3y + (-1.5y2) Reorder the terms: -13.5 + x2 + 3y + (1.5y2) = 13.5 + -3y + (-1.5y2) + -13.5 + 3y + (1.5y2) Reorder the terms: -13.5 + x2 + 3y + (1.5y2) = 13.5 + -13.5 + -3y + 3y + (-1.5y2) + (1.5y2) Combine like terms: 13.5 + -13.5 = 0.0 -13.5 + x2 + 3y + (1.5y2) = 0.0 + -3y + 3y + (-1.5y2) + (1.5y2) -13.5 + x2 + 3y + (1.5y2) = -3y + 3y + (-1.5y2) + (1.5y2) Combine like terms: -3y + 3y = 0 -13.5 + x2 + 3y + (1.5y2) = 0 + (-1.5y2) + (1.5y2) -13.5 + x2 + 3y + (1.5y2) = (-1.5y2) + (1.5y2) Combine like terms: (-1.5y2) + (1.5y2) = 0.0 -13.5 + x2 + 3y + (1.5y2) = 0.0 The solution to this equation could not be determined.
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