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Simplifying 6x2 + 8y2 = 96 Solving 6x2 + 8y2 = 96 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y2' to each side of the equation. 6x2 + 8y2 + -8y2 = 96 + -8y2 Combine like terms: 8y2 + -8y2 = 0 6x2 + 0 = 96 + -8y2 6x2 = 96 + -8y2 Divide each side by '6'. x2 = 16 + -1.333333333y2 Simplifying x2 = 16 + -1.333333333y2 Reorder the terms: -16 + x2 + 1.333333333y2 = 16 + -1.333333333y2 + -16 + 1.333333333y2 Reorder the terms: -16 + x2 + 1.333333333y2 = 16 + -16 + -1.333333333y2 + 1.333333333y2 Combine like terms: 16 + -16 = 0 -16 + x2 + 1.333333333y2 = 0 + -1.333333333y2 + 1.333333333y2 -16 + x2 + 1.333333333y2 = -1.333333333y2 + 1.333333333y2 Combine like terms: -1.333333333y2 + 1.333333333y2 = 0.000000000 -16 + x2 + 1.333333333y2 = 0.000000000 The solution to this equation could not be determined.
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