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Simplifying (x + 8)(x + 8) + (y + -3)(y + -3) = 25 Reorder the terms: (8 + x)(x + 8) + (y + -3)(y + -3) = 25 Reorder the terms: (8 + x)(8 + x) + (y + -3)(y + -3) = 25 Multiply (8 + x) * (8 + x) (8(8 + x) + x(8 + x)) + (y + -3)(y + -3) = 25 ((8 * 8 + x * 8) + x(8 + x)) + (y + -3)(y + -3) = 25 ((64 + 8x) + x(8 + x)) + (y + -3)(y + -3) = 25 (64 + 8x + (8 * x + x * x)) + (y + -3)(y + -3) = 25 (64 + 8x + (8x + x2)) + (y + -3)(y + -3) = 25 Combine like terms: 8x + 8x = 16x (64 + 16x + x2) + (y + -3)(y + -3) = 25 Reorder the terms: 64 + 16x + x2 + (-3 + y)(y + -3) = 25 Reorder the terms: 64 + 16x + x2 + (-3 + y)(-3 + y) = 25 Multiply (-3 + y) * (-3 + y) 64 + 16x + x2 + (-3(-3 + y) + y(-3 + y)) = 25 64 + 16x + x2 + ((-3 * -3 + y * -3) + y(-3 + y)) = 25 64 + 16x + x2 + ((9 + -3y) + y(-3 + y)) = 25 64 + 16x + x2 + (9 + -3y + (-3 * y + y * y)) = 25 64 + 16x + x2 + (9 + -3y + (-3y + y2)) = 25 Combine like terms: -3y + -3y = -6y 64 + 16x + x2 + (9 + -6y + y2) = 25 Reorder the terms: 64 + 9 + 16x + x2 + -6y + y2 = 25 Combine like terms: 64 + 9 = 73 73 + 16x + x2 + -6y + y2 = 25 Solving 73 + 16x + x2 + -6y + y2 = 25 Solving for variable 'x'. Reorder the terms: 73 + -25 + 16x + x2 + -6y + y2 = 25 + -25 Combine like terms: 73 + -25 = 48 48 + 16x + x2 + -6y + y2 = 25 + -25 Combine like terms: 25 + -25 = 0 48 + 16x + x2 + -6y + y2 = 0 The solution to this equation could not be determined.
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