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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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