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Simplifying (x + y)(x + y) = ax2 + 12x + 9 Multiply (x + y) * (x + y) (x(x + y) + y(x + y)) = ax2 + 12x + 9 ((x * x + y * x) + y(x + y)) = ax2 + 12x + 9 Reorder the terms: ((xy + x2) + y(x + y)) = ax2 + 12x + 9 ((xy + x2) + y(x + y)) = ax2 + 12x + 9 (xy + x2 + (x * y + y * y)) = ax2 + 12x + 9 (xy + x2 + (xy + y2)) = ax2 + 12x + 9 Reorder the terms: (xy + xy + x2 + y2) = ax2 + 12x + 9 Combine like terms: xy + xy = 2xy (2xy + x2 + y2) = ax2 + 12x + 9 Reorder the terms: 2xy + x2 + y2 = 9 + ax2 + 12x Solving 2xy + x2 + y2 = 9 + ax2 + 12x Solving for variable 'x'. Reorder the terms: -9 + -1ax2 + -12x + 2xy + x2 + y2 = 9 + ax2 + 12x + -9 + -1ax2 + -12x Reorder the terms: -9 + -1ax2 + -12x + 2xy + x2 + y2 = 9 + -9 + ax2 + -1ax2 + 12x + -12x Combine like terms: 9 + -9 = 0 -9 + -1ax2 + -12x + 2xy + x2 + y2 = 0 + ax2 + -1ax2 + 12x + -12x -9 + -1ax2 + -12x + 2xy + x2 + y2 = ax2 + -1ax2 + 12x + -12x Combine like terms: ax2 + -1ax2 = 0 -9 + -1ax2 + -12x + 2xy + x2 + y2 = 0 + 12x + -12x -9 + -1ax2 + -12x + 2xy + x2 + y2 = 12x + -12x Combine like terms: 12x + -12x = 0 -9 + -1ax2 + -12x + 2xy + x2 + y2 = 0 The solution to this equation could not be determined.
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