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Simplifying 6x2 + 9y2 = 144 Solving 6x2 + 9y2 = 144 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y2' to each side of the equation. 6x2 + 9y2 + -9y2 = 144 + -9y2 Combine like terms: 9y2 + -9y2 = 0 6x2 + 0 = 144 + -9y2 6x2 = 144 + -9y2 Divide each side by '6'. x2 = 24 + -1.5y2 Simplifying x2 = 24 + -1.5y2 Reorder the terms: -24 + x2 + 1.5y2 = 24 + -1.5y2 + -24 + 1.5y2 Reorder the terms: -24 + x2 + 1.5y2 = 24 + -24 + -1.5y2 + 1.5y2 Combine like terms: 24 + -24 = 0 -24 + x2 + 1.5y2 = 0 + -1.5y2 + 1.5y2 -24 + x2 + 1.5y2 = -1.5y2 + 1.5y2 Combine like terms: -1.5y2 + 1.5y2 = 0.0 -24 + x2 + 1.5y2 = 0.0 The solution to this equation could not be determined.
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