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Simplifying 6x2 + 3y2 + 12y + -6 = 0 Reorder the terms: -6 + 6x2 + 12y + 3y2 = 0 Solving -6 + 6x2 + 12y + 3y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6x2 + 12y + 6 + 3y2 = 0 + 6 Reorder the terms: -6 + 6 + 6x2 + 12y + 3y2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6x2 + 12y + 3y2 = 0 + 6 6x2 + 12y + 3y2 = 0 + 6 Combine like terms: 0 + 6 = 6 6x2 + 12y + 3y2 = 6 Add '-12y' to each side of the equation. 6x2 + 12y + -12y + 3y2 = 6 + -12y Combine like terms: 12y + -12y = 0 6x2 + 0 + 3y2 = 6 + -12y 6x2 + 3y2 = 6 + -12y Add '-3y2' to each side of the equation. 6x2 + 3y2 + -3y2 = 6 + -12y + -3y2 Combine like terms: 3y2 + -3y2 = 0 6x2 + 0 = 6 + -12y + -3y2 6x2 = 6 + -12y + -3y2 Divide each side by '6'. x2 = 1 + -2y + -0.5y2 Simplifying x2 = 1 + -2y + -0.5y2 Reorder the terms: -1 + x2 + 2y + 0.5y2 = 1 + -2y + -0.5y2 + -1 + 2y + 0.5y2 Reorder the terms: -1 + x2 + 2y + 0.5y2 = 1 + -1 + -2y + 2y + -0.5y2 + 0.5y2 Combine like terms: 1 + -1 = 0 -1 + x2 + 2y + 0.5y2 = 0 + -2y + 2y + -0.5y2 + 0.5y2 -1 + x2 + 2y + 0.5y2 = -2y + 2y + -0.5y2 + 0.5y2 Combine like terms: -2y + 2y = 0 -1 + x2 + 2y + 0.5y2 = 0 + -0.5y2 + 0.5y2 -1 + x2 + 2y + 0.5y2 = -0.5y2 + 0.5y2 Combine like terms: -0.5y2 + 0.5y2 = 0.0 -1 + x2 + 2y + 0.5y2 = 0.0 The solution to this equation could not be determined.
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