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Simplifying 8x2 + 12y2 = 96 Solving 8x2 + 12y2 = 96 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y2' to each side of the equation. 8x2 + 12y2 + -12y2 = 96 + -12y2 Combine like terms: 12y2 + -12y2 = 0 8x2 + 0 = 96 + -12y2 8x2 = 96 + -12y2 Divide each side by '8'. x2 = 12 + -1.5y2 Simplifying x2 = 12 + -1.5y2 Reorder the terms: -12 + x2 + 1.5y2 = 12 + -1.5y2 + -12 + 1.5y2 Reorder the terms: -12 + x2 + 1.5y2 = 12 + -12 + -1.5y2 + 1.5y2 Combine like terms: 12 + -12 = 0 -12 + x2 + 1.5y2 = 0 + -1.5y2 + 1.5y2 -12 + x2 + 1.5y2 = -1.5y2 + 1.5y2 Combine like terms: -1.5y2 + 1.5y2 = 0.0 -12 + x2 + 1.5y2 = 0.0 The solution to this equation could not be determined.
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