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Simplifying y2 + (2x + -7) * y + -8x + 12 = 0 Reorder the terms: y2 + (-7 + 2x) * y + -8x + 12 = 0 Reorder the terms for easier multiplication: y2 + y(-7 + 2x) + -8x + 12 = 0 y2 + (-7 * y + 2x * y) + -8x + 12 = 0 Reorder the terms: y2 + (2xy + -7y) + -8x + 12 = 0 y2 + (2xy + -7y) + -8x + 12 = 0 Reorder the terms: 12 + -8x + 2xy + -7y + y2 = 0 Solving 12 + -8x + 2xy + -7y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -8x + 2xy + -7y + -12 + y2 = 0 + -12 Reorder the terms: 12 + -12 + -8x + 2xy + -7y + y2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -8x + 2xy + -7y + y2 = 0 + -12 -8x + 2xy + -7y + y2 = 0 + -12 Combine like terms: 0 + -12 = -12 -8x + 2xy + -7y + y2 = -12 Add '7y' to each side of the equation. -8x + 2xy + -7y + 7y + y2 = -12 + 7y Combine like terms: -7y + 7y = 0 -8x + 2xy + 0 + y2 = -12 + 7y -8x + 2xy + y2 = -12 + 7y Add '-1y2' to each side of the equation. -8x + 2xy + y2 + -1y2 = -12 + 7y + -1y2 Combine like terms: y2 + -1y2 = 0 -8x + 2xy + 0 = -12 + 7y + -1y2 -8x + 2xy = -12 + 7y + -1y2 Reorder the terms: 12 + -8x + 2xy + -7y + y2 = -12 + 7y + -1y2 + 12 + -7y + y2 Reorder the terms: 12 + -8x + 2xy + -7y + y2 = -12 + 12 + 7y + -7y + -1y2 + y2 Combine like terms: -12 + 12 = 0 12 + -8x + 2xy + -7y + y2 = 0 + 7y + -7y + -1y2 + y2 12 + -8x + 2xy + -7y + y2 = 7y + -7y + -1y2 + y2 Combine like terms: 7y + -7y = 0 12 + -8x + 2xy + -7y + y2 = 0 + -1y2 + y2 12 + -8x + 2xy + -7y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 12 + -8x + 2xy + -7y + y2 = 0 The solution to this equation could not be determined.
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