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Simplifying 2x2 + -1y2 + 6y + -3 = 0 Reorder the terms: -3 + 2x2 + 6y + -1y2 = 0 Solving -3 + 2x2 + 6y + -1y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2x2 + 6y + 3 + -1y2 = 0 + 3 Reorder the terms: -3 + 3 + 2x2 + 6y + -1y2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x2 + 6y + -1y2 = 0 + 3 2x2 + 6y + -1y2 = 0 + 3 Combine like terms: 0 + 3 = 3 2x2 + 6y + -1y2 = 3 Add '-6y' to each side of the equation. 2x2 + 6y + -6y + -1y2 = 3 + -6y Combine like terms: 6y + -6y = 0 2x2 + 0 + -1y2 = 3 + -6y 2x2 + -1y2 = 3 + -6y Add 'y2' to each side of the equation. 2x2 + -1y2 + y2 = 3 + -6y + y2 Combine like terms: -1y2 + y2 = 0 2x2 + 0 = 3 + -6y + y2 2x2 = 3 + -6y + y2 Divide each side by '2'. x2 = 1.5 + -3y + 0.5y2 Simplifying x2 = 1.5 + -3y + 0.5y2 Reorder the terms: -1.5 + x2 + 3y + -0.5y2 = 1.5 + -3y + 0.5y2 + -1.5 + 3y + -0.5y2 Reorder the terms: -1.5 + x2 + 3y + -0.5y2 = 1.5 + -1.5 + -3y + 3y + 0.5y2 + -0.5y2 Combine like terms: 1.5 + -1.5 = 0.0 -1.5 + x2 + 3y + -0.5y2 = 0.0 + -3y + 3y + 0.5y2 + -0.5y2 -1.5 + x2 + 3y + -0.5y2 = -3y + 3y + 0.5y2 + -0.5y2 Combine like terms: -3y + 3y = 0 -1.5 + x2 + 3y + -0.5y2 = 0 + 0.5y2 + -0.5y2 -1.5 + x2 + 3y + -0.5y2 = 0.5y2 + -0.5y2 Combine like terms: 0.5y2 + -0.5y2 = 0.0 -1.5 + x2 + 3y + -0.5y2 = 0.0 The solution to this equation could not be determined.
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