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Simplifying 8x2 + 8xy + 7 = 5y2 + 8xy + 6 Reorder the terms: 7 + 8xy + 8x2 = 5y2 + 8xy + 6 Reorder the terms: 7 + 8xy + 8x2 = 6 + 8xy + 5y2 Add '-8xy' to each side of the equation. 7 + 8xy + -8xy + 8x2 = 6 + 8xy + -8xy + 5y2 Combine like terms: 8xy + -8xy = 0 7 + 0 + 8x2 = 6 + 8xy + -8xy + 5y2 7 + 8x2 = 6 + 8xy + -8xy + 5y2 Combine like terms: 8xy + -8xy = 0 7 + 8x2 = 6 + 0 + 5y2 7 + 8x2 = 6 + 5y2 Solving 7 + 8x2 = 6 + 5y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8x2 = 6 + -7 + 5y2 Combine like terms: 7 + -7 = 0 0 + 8x2 = 6 + -7 + 5y2 8x2 = 6 + -7 + 5y2 Combine like terms: 6 + -7 = -1 8x2 = -1 + 5y2 Divide each side by '8'. x2 = -0.125 + 0.625y2 Simplifying x2 = -0.125 + 0.625y2 Reorder the terms: 0.125 + x2 + -0.625y2 = -0.125 + 0.625y2 + 0.125 + -0.625y2 Reorder the terms: 0.125 + x2 + -0.625y2 = -0.125 + 0.125 + 0.625y2 + -0.625y2 Combine like terms: -0.125 + 0.125 = 0.000 0.125 + x2 + -0.625y2 = 0.000 + 0.625y2 + -0.625y2 0.125 + x2 + -0.625y2 = 0.625y2 + -0.625y2 Combine like terms: 0.625y2 + -0.625y2 = 0.000 0.125 + x2 + -0.625y2 = 0.000 The solution to this equation could not be determined.
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