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Simplifying x2 + Y2 + -6x + 4y + 13 = 0 Reorder the terms: 13 + Y2 + -6x + x2 + 4y = 0 Solving 13 + Y2 + -6x + x2 + 4y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + Y2 + -6x + x2 + -13 + 4y = 0 + -13 Reorder the terms: 13 + -13 + Y2 + -6x + x2 + 4y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + Y2 + -6x + x2 + 4y = 0 + -13 Y2 + -6x + x2 + 4y = 0 + -13 Combine like terms: 0 + -13 = -13 Y2 + -6x + x2 + 4y = -13 Add '6x' to each side of the equation. Y2 + -6x + x2 + 6x + 4y = -13 + 6x Reorder the terms: Y2 + -6x + 6x + x2 + 4y = -13 + 6x Combine like terms: -6x + 6x = 0 Y2 + 0 + x2 + 4y = -13 + 6x Y2 + x2 + 4y = -13 + 6x Add '-1x2' to each side of the equation. Y2 + x2 + -1x2 + 4y = -13 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 Y2 + 0 + 4y = -13 + 6x + -1x2 Y2 + 4y = -13 + 6x + -1x2 Add '-4y' to each side of the equation. Y2 + 4y + -4y = -13 + 6x + -1x2 + -4y Combine like terms: 4y + -4y = 0 Y2 + 0 = -13 + 6x + -1x2 + -4y Y2 = -13 + 6x + -1x2 + -4y Simplifying Y2 = -13 + 6x + -1x2 + -4y Reorder the terms: 13 + Y2 + -6x + x2 + 4y = -13 + 6x + -1x2 + -4y + 13 + -6x + x2 + 4y Reorder the terms: 13 + Y2 + -6x + x2 + 4y = -13 + 13 + 6x + -6x + -1x2 + x2 + -4y + 4y Combine like terms: -13 + 13 = 0 13 + Y2 + -6x + x2 + 4y = 0 + 6x + -6x + -1x2 + x2 + -4y + 4y 13 + Y2 + -6x + x2 + 4y = 6x + -6x + -1x2 + x2 + -4y + 4y Combine like terms: 6x + -6x = 0 13 + Y2 + -6x + x2 + 4y = 0 + -1x2 + x2 + -4y + 4y 13 + Y2 + -6x + x2 + 4y = -1x2 + x2 + -4y + 4y Combine like terms: -1x2 + x2 = 0 13 + Y2 + -6x + x2 + 4y = 0 + -4y + 4y 13 + Y2 + -6x + x2 + 4y = -4y + 4y Combine like terms: -4y + 4y = 0 13 + Y2 + -6x + x2 + 4y = 0 The solution to this equation could not be determined.
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