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Simplifying 5x2 + 8y2 = 77 Solving 5x2 + 8y2 = 77 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. 5x2 + 8y2 + -8y2 = 77 + -8y2 Combine like terms: 8y2 + -8y2 = 0 5x2 + 0 = 77 + -8y2 5x2 = 77 + -8y2 Divide each side by '5'. x2 = 15.4 + -1.6y2 Simplifying x2 = 15.4 + -1.6y2 Reorder the terms: -15.4 + x2 + 1.6y2 = 15.4 + -1.6y2 + -15.4 + 1.6y2 Reorder the terms: -15.4 + x2 + 1.6y2 = 15.4 + -15.4 + -1.6y2 + 1.6y2 Combine like terms: 15.4 + -15.4 = 0.0 -15.4 + x2 + 1.6y2 = 0.0 + -1.6y2 + 1.6y2 -15.4 + x2 + 1.6y2 = -1.6y2 + 1.6y2 Combine like terms: -1.6y2 + 1.6y2 = 0.0 -15.4 + x2 + 1.6y2 = 0.0 The solution to this equation could not be determined.
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