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Simplifying 8x2 + 12y2 + 1 = 0 Reorder the terms: 1 + 8x2 + 12y2 = 0 Solving 1 + 8x2 + 12y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 8x2 + -1 + 12y2 = 0 + -1 Reorder the terms: 1 + -1 + 8x2 + 12y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x2 + 12y2 = 0 + -1 8x2 + 12y2 = 0 + -1 Combine like terms: 0 + -1 = -1 8x2 + 12y2 = -1 Add '-12y2' to each side of the equation. 8x2 + 12y2 + -12y2 = -1 + -12y2 Combine like terms: 12y2 + -12y2 = 0 8x2 + 0 = -1 + -12y2 8x2 = -1 + -12y2 Divide each side by '8'. x2 = -0.125 + -1.5y2 Simplifying x2 = -0.125 + -1.5y2 Reorder the terms: 0.125 + x2 + 1.5y2 = -0.125 + -1.5y2 + 0.125 + 1.5y2 Reorder the terms: 0.125 + x2 + 1.5y2 = -0.125 + 0.125 + -1.5y2 + 1.5y2 Combine like terms: -0.125 + 0.125 = 0.000 0.125 + x2 + 1.5y2 = 0.000 + -1.5y2 + 1.5y2 0.125 + x2 + 1.5y2 = -1.5y2 + 1.5y2 Combine like terms: -1.5y2 + 1.5y2 = 0.0 0.125 + x2 + 1.5y2 = 0.0 The solution to this equation could not be determined.
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