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Simplifying y2 + -6y + 16x + 9 = 0 Reorder the terms: 9 + 16x + -6y + y2 = 0 Solving 9 + 16x + -6y + y2 = 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 + 16x + -6y + -9 + y2 = 0 + -9 Reorder the terms: 9 + -9 + 16x + -6y + y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 16x + -6y + y2 = 0 + -9 16x + -6y + y2 = 0 + -9 Combine like terms: 0 + -9 = -9 16x + -6y + y2 = -9 Add '6y' to each side of the equation. 16x + -6y + 6y + y2 = -9 + 6y Combine like terms: -6y + 6y = 0 16x + 0 + y2 = -9 + 6y 16x + y2 = -9 + 6y Add '-1y2' to each side of the equation. 16x + y2 + -1y2 = -9 + 6y + -1y2 Combine like terms: y2 + -1y2 = 0 16x + 0 = -9 + 6y + -1y2 16x = -9 + 6y + -1y2 Divide each side by '16'. x = -0.5625 + 0.375y + -0.0625y2 Simplifying x = -0.5625 + 0.375y + -0.0625y2
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