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Simplifying 16x2 + -1y2 + 6y + -9 = 0 Reorder the terms: -9 + 16x2 + 6y + -1y2 = 0 Solving -9 + 16x2 + 6y + -1y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 16x2 + 6y + 9 + -1y2 = 0 + 9 Reorder the terms: -9 + 9 + 16x2 + 6y + -1y2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 16x2 + 6y + -1y2 = 0 + 9 16x2 + 6y + -1y2 = 0 + 9 Combine like terms: 0 + 9 = 9 16x2 + 6y + -1y2 = 9 Add '-6y' to each side of the equation. 16x2 + 6y + -6y + -1y2 = 9 + -6y Combine like terms: 6y + -6y = 0 16x2 + 0 + -1y2 = 9 + -6y 16x2 + -1y2 = 9 + -6y Add 'y2' to each side of the equation. 16x2 + -1y2 + y2 = 9 + -6y + y2 Combine like terms: -1y2 + y2 = 0 16x2 + 0 = 9 + -6y + y2 16x2 = 9 + -6y + y2 Divide each side by '16'. x2 = 0.5625 + -0.375y + 0.0625y2 Simplifying x2 = 0.5625 + -0.375y + 0.0625y2 Reorder the terms: -0.5625 + x2 + 0.375y + -0.0625y2 = 0.5625 + -0.375y + 0.0625y2 + -0.5625 + 0.375y + -0.0625y2 Reorder the terms: -0.5625 + x2 + 0.375y + -0.0625y2 = 0.5625 + -0.5625 + -0.375y + 0.375y + 0.0625y2 + -0.0625y2 Combine like terms: 0.5625 + -0.5625 = 0.0000 -0.5625 + x2 + 0.375y + -0.0625y2 = 0.0000 + -0.375y + 0.375y + 0.0625y2 + -0.0625y2 -0.5625 + x2 + 0.375y + -0.0625y2 = -0.375y + 0.375y + 0.0625y2 + -0.0625y2 Combine like terms: -0.375y + 0.375y = 0.000 -0.5625 + x2 + 0.375y + -0.0625y2 = 0.000 + 0.0625y2 + -0.0625y2 -0.5625 + x2 + 0.375y + -0.0625y2 = 0.0625y2 + -0.0625y2 Combine like terms: 0.0625y2 + -0.0625y2 = 0.0000 -0.5625 + x2 + 0.375y + -0.0625y2 = 0.0000 The solution to this equation could not be determined.
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