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Simplifying [(x + -3)(x + -3)] + [(y + 3)(y + 3)] = 36 Reorder the terms: [(-3 + x)(x + -3)] + [(y + 3)(y + 3)] = 36 Reorder the terms: [(-3 + x)(-3 + x)] + [(y + 3)(y + 3)] = 36 Multiply (-3 + x) * (-3 + x) [(-3(-3 + x) + x(-3 + x))] + [(y + 3)(y + 3)] = 36 [((-3 * -3 + x * -3) + x(-3 + x))] + [(y + 3)(y + 3)] = 36 [((9 + -3x) + x(-3 + x))] + [(y + 3)(y + 3)] = 36 [(9 + -3x + (-3 * x + x * x))] + [(y + 3)(y + 3)] = 36 [(9 + -3x + (-3x + x2))] + [(y + 3)(y + 3)] = 36 Combine like terms: -3x + -3x = -6x [(9 + -6x + x2)] + [(y + 3)(y + 3)] = 36 [9 + -6x + x2] + [(y + 3)(y + 3)] = 36 Remove brackets around [9 + -6x + x2] 9 + -6x + x2 + [(y + 3)(y + 3)] = 36 Reorder the terms: 9 + -6x + x2 + [(3 + y)(y + 3)] = 36 Reorder the terms: 9 + -6x + x2 + [(3 + y)(3 + y)] = 36 Multiply (3 + y) * (3 + y) 9 + -6x + x2 + [(3(3 + y) + y(3 + y))] = 36 9 + -6x + x2 + [((3 * 3 + y * 3) + y(3 + y))] = 36 9 + -6x + x2 + [((9 + 3y) + y(3 + y))] = 36 9 + -6x + x2 + [(9 + 3y + (3 * y + y * y))] = 36 9 + -6x + x2 + [(9 + 3y + (3y + y2))] = 36 Combine like terms: 3y + 3y = 6y 9 + -6x + x2 + [(9 + 6y + y2)] = 36 9 + -6x + x2 + [9 + 6y + y2] = 36 Remove brackets around [9 + 6y + y2] 9 + -6x + x2 + 9 + 6y + y2 = 36 Reorder the terms: 9 + 9 + -6x + x2 + 6y + y2 = 36 Combine like terms: 9 + 9 = 18 18 + -6x + x2 + 6y + y2 = 36 Solving 18 + -6x + x2 + 6y + y2 = 36 Solving for variable 'x'. Reorder the terms: 18 + -36 + -6x + x2 + 6y + y2 = 36 + -36 Combine like terms: 18 + -36 = -18 -18 + -6x + x2 + 6y + y2 = 36 + -36 Combine like terms: 36 + -36 = 0 -18 + -6x + x2 + 6y + y2 = 0 The solution to this equation could not be determined.
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