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Simplifying (x + -2)(x + -2) + (y + -6)(y + -6) = 25 Reorder the terms: (-2 + x)(x + -2) + (y + -6)(y + -6) = 25 Reorder the terms: (-2 + x)(-2 + x) + (y + -6)(y + -6) = 25 Multiply (-2 + x) * (-2 + x) (-2(-2 + x) + x(-2 + x)) + (y + -6)(y + -6) = 25 ((-2 * -2 + x * -2) + x(-2 + x)) + (y + -6)(y + -6) = 25 ((4 + -2x) + x(-2 + x)) + (y + -6)(y + -6) = 25 (4 + -2x + (-2 * x + x * x)) + (y + -6)(y + -6) = 25 (4 + -2x + (-2x + x2)) + (y + -6)(y + -6) = 25 Combine like terms: -2x + -2x = -4x (4 + -4x + x2) + (y + -6)(y + -6) = 25 Reorder the terms: 4 + -4x + x2 + (-6 + y)(y + -6) = 25 Reorder the terms: 4 + -4x + x2 + (-6 + y)(-6 + y) = 25 Multiply (-6 + y) * (-6 + y) 4 + -4x + x2 + (-6(-6 + y) + y(-6 + y)) = 25 4 + -4x + x2 + ((-6 * -6 + y * -6) + y(-6 + y)) = 25 4 + -4x + x2 + ((36 + -6y) + y(-6 + y)) = 25 4 + -4x + x2 + (36 + -6y + (-6 * y + y * y)) = 25 4 + -4x + x2 + (36 + -6y + (-6y + y2)) = 25 Combine like terms: -6y + -6y = -12y 4 + -4x + x2 + (36 + -12y + y2) = 25 Reorder the terms: 4 + 36 + -4x + x2 + -12y + y2 = 25 Combine like terms: 4 + 36 = 40 40 + -4x + x2 + -12y + y2 = 25 Solving 40 + -4x + x2 + -12y + y2 = 25 Solving for variable 'x'. Reorder the terms: 40 + -25 + -4x + x2 + -12y + y2 = 25 + -25 Combine like terms: 40 + -25 = 15 15 + -4x + x2 + -12y + y2 = 25 + -25 Combine like terms: 25 + -25 = 0 15 + -4x + x2 + -12y + y2 = 0 The solution to this equation could not be determined.
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