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Simplifying -16x2 + y2 + 4y + -60 = 0 Reorder the terms: -60 + -16x2 + 4y + y2 = 0 Solving -60 + -16x2 + 4y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + -16x2 + 4y + 60 + y2 = 0 + 60 Reorder the terms: -60 + 60 + -16x2 + 4y + y2 = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -16x2 + 4y + y2 = 0 + 60 -16x2 + 4y + y2 = 0 + 60 Combine like terms: 0 + 60 = 60 -16x2 + 4y + y2 = 60 Add '-4y' to each side of the equation. -16x2 + 4y + -4y + y2 = 60 + -4y Combine like terms: 4y + -4y = 0 -16x2 + 0 + y2 = 60 + -4y -16x2 + y2 = 60 + -4y Add '-1y2' to each side of the equation. -16x2 + y2 + -1y2 = 60 + -4y + -1y2 Combine like terms: y2 + -1y2 = 0 -16x2 + 0 = 60 + -4y + -1y2 -16x2 = 60 + -4y + -1y2 Divide each side by '-16'. x2 = -3.75 + 0.25y + 0.0625y2 Simplifying x2 = -3.75 + 0.25y + 0.0625y2 Reorder the terms: 3.75 + x2 + -0.25y + -0.0625y2 = -3.75 + 0.25y + 0.0625y2 + 3.75 + -0.25y + -0.0625y2 Reorder the terms: 3.75 + x2 + -0.25y + -0.0625y2 = -3.75 + 3.75 + 0.25y + -0.25y + 0.0625y2 + -0.0625y2 Combine like terms: -3.75 + 3.75 = 0.00 3.75 + x2 + -0.25y + -0.0625y2 = 0.00 + 0.25y + -0.25y + 0.0625y2 + -0.0625y2 3.75 + x2 + -0.25y + -0.0625y2 = 0.25y + -0.25y + 0.0625y2 + -0.0625y2 Combine like terms: 0.25y + -0.25y = 0.00 3.75 + x2 + -0.25y + -0.0625y2 = 0.00 + 0.0625y2 + -0.0625y2 3.75 + x2 + -0.25y + -0.0625y2 = 0.0625y2 + -0.0625y2 Combine like terms: 0.0625y2 + -0.0625y2 = 0.0000 3.75 + x2 + -0.25y + -0.0625y2 = 0.0000 The solution to this equation could not be determined.
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