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Simplifying 8x2 + 5y2 = 40 Solving 8x2 + 5y2 = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y2' to each side of the equation. 8x2 + 5y2 + -5y2 = 40 + -5y2 Combine like terms: 5y2 + -5y2 = 0 8x2 + 0 = 40 + -5y2 8x2 = 40 + -5y2 Divide each side by '8'. x2 = 5 + -0.625y2 Simplifying x2 = 5 + -0.625y2 Reorder the terms: -5 + x2 + 0.625y2 = 5 + -0.625y2 + -5 + 0.625y2 Reorder the terms: -5 + x2 + 0.625y2 = 5 + -5 + -0.625y2 + 0.625y2 Combine like terms: 5 + -5 = 0 -5 + x2 + 0.625y2 = 0 + -0.625y2 + 0.625y2 -5 + x2 + 0.625y2 = -0.625y2 + 0.625y2 Combine like terms: -0.625y2 + 0.625y2 = 0.000 -5 + x2 + 0.625y2 = 0.000 The solution to this equation could not be determined.
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