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Simplifying 6x2 + 6y2 + 12y = 48 Reorder the terms: 6x2 + 12y + 6y2 = 48 Solving 6x2 + 12y + 6y2 = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 6x2 + 12y + -12y + 6y2 = 48 + -12y Combine like terms: 12y + -12y = 0 6x2 + 0 + 6y2 = 48 + -12y 6x2 + 6y2 = 48 + -12y Add '-6y2' to each side of the equation. 6x2 + 6y2 + -6y2 = 48 + -12y + -6y2 Combine like terms: 6y2 + -6y2 = 0 6x2 + 0 = 48 + -12y + -6y2 6x2 = 48 + -12y + -6y2 Divide each side by '6'. x2 = 8 + -2y + -1y2 Simplifying x2 = 8 + -2y + -1y2 Reorder the terms: -8 + x2 + 2y + y2 = 8 + -2y + -1y2 + -8 + 2y + y2 Reorder the terms: -8 + x2 + 2y + y2 = 8 + -8 + -2y + 2y + -1y2 + y2 Combine like terms: 8 + -8 = 0 -8 + x2 + 2y + y2 = 0 + -2y + 2y + -1y2 + y2 -8 + x2 + 2y + y2 = -2y + 2y + -1y2 + y2 Combine like terms: -2y + 2y = 0 -8 + x2 + 2y + y2 = 0 + -1y2 + y2 -8 + x2 + 2y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -8 + x2 + 2y + y2 = 0 The solution to this equation could not be determined.
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