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Simplifying 16x2 + y2 + -24y + 80 = 0 Reorder the terms: 80 + 16x2 + -24y + y2 = 0 Solving 80 + 16x2 + -24y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + 16x2 + -24y + -80 + y2 = 0 + -80 Reorder the terms: 80 + -80 + 16x2 + -24y + y2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 16x2 + -24y + y2 = 0 + -80 16x2 + -24y + y2 = 0 + -80 Combine like terms: 0 + -80 = -80 16x2 + -24y + y2 = -80 Add '24y' to each side of the equation. 16x2 + -24y + 24y + y2 = -80 + 24y Combine like terms: -24y + 24y = 0 16x2 + 0 + y2 = -80 + 24y 16x2 + y2 = -80 + 24y Add '-1y2' to each side of the equation. 16x2 + y2 + -1y2 = -80 + 24y + -1y2 Combine like terms: y2 + -1y2 = 0 16x2 + 0 = -80 + 24y + -1y2 16x2 = -80 + 24y + -1y2 Divide each side by '16'. x2 = -5 + 1.5y + -0.0625y2 Simplifying x2 = -5 + 1.5y + -0.0625y2 Reorder the terms: 5 + x2 + -1.5y + 0.0625y2 = -5 + 1.5y + -0.0625y2 + 5 + -1.5y + 0.0625y2 Reorder the terms: 5 + x2 + -1.5y + 0.0625y2 = -5 + 5 + 1.5y + -1.5y + -0.0625y2 + 0.0625y2 Combine like terms: -5 + 5 = 0 5 + x2 + -1.5y + 0.0625y2 = 0 + 1.5y + -1.5y + -0.0625y2 + 0.0625y2 5 + x2 + -1.5y + 0.0625y2 = 1.5y + -1.5y + -0.0625y2 + 0.0625y2 Combine like terms: 1.5y + -1.5y = 0.0 5 + x2 + -1.5y + 0.0625y2 = 0.0 + -0.0625y2 + 0.0625y2 5 + x2 + -1.5y + 0.0625y2 = -0.0625y2 + 0.0625y2 Combine like terms: -0.0625y2 + 0.0625y2 = 0.0000 5 + x2 + -1.5y + 0.0625y2 = 0.0000 The solution to this equation could not be determined.
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