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Simplifying (y + 2)(x + 6)(x + -6) = 0 Reorder the terms: (2 + y)(x + 6)(x + -6) = 0 Reorder the terms: (2 + y)(6 + x)(x + -6) = 0 Reorder the terms: (2 + y)(6 + x)(-6 + x) = 0 Multiply (2 + y) * (6 + x) (2(6 + x) + y(6 + x))(-6 + x) = 0 ((6 * 2 + x * 2) + y(6 + x))(-6 + x) = 0 ((12 + 2x) + y(6 + x))(-6 + x) = 0 (12 + 2x + (6 * y + x * y))(-6 + x) = 0 Reorder the terms: (12 + 2x + (xy + 6y))(-6 + x) = 0 (12 + 2x + (xy + 6y))(-6 + x) = 0 (12 + 2x + xy + 6y)(-6 + x) = 0 Multiply (12 + 2x + xy + 6y) * (-6 + x) (12(-6 + x) + 2x * (-6 + x) + xy(-6 + x) + 6y * (-6 + x)) = 0 ((-6 * 12 + x * 12) + 2x * (-6 + x) + xy(-6 + x) + 6y * (-6 + x)) = 0 ((-72 + 12x) + 2x * (-6 + x) + xy(-6 + x) + 6y * (-6 + x)) = 0 (-72 + 12x + (-6 * 2x + x * 2x) + xy(-6 + x) + 6y * (-6 + x)) = 0 (-72 + 12x + (-12x + 2x2) + xy(-6 + x) + 6y * (-6 + x)) = 0 (-72 + 12x + -12x + 2x2 + (-6 * xy + x * xy) + 6y * (-6 + x)) = 0 (-72 + 12x + -12x + 2x2 + (-6xy + x2y) + 6y * (-6 + x)) = 0 (-72 + 12x + -12x + 2x2 + -6xy + x2y + (-6 * 6y + x * 6y)) = 0 Reorder the terms: (-72 + 12x + -12x + 2x2 + -6xy + x2y + (6xy + -36y)) = 0 (-72 + 12x + -12x + 2x2 + -6xy + x2y + (6xy + -36y)) = 0 Reorder the terms: (-72 + 12x + -12x + -6xy + 6xy + 2x2 + x2y + -36y) = 0 Combine like terms: 12x + -12x = 0 (-72 + 0 + -6xy + 6xy + 2x2 + x2y + -36y) = 0 (-72 + -6xy + 6xy + 2x2 + x2y + -36y) = 0 Combine like terms: -6xy + 6xy = 0 (-72 + 0 + 2x2 + x2y + -36y) = 0 (-72 + 2x2 + x2y + -36y) = 0 Solving -72 + 2x2 + x2y + -36y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 2x2 + x2y + 72 + -36y = 0 + 72 Reorder the terms: -72 + 72 + 2x2 + x2y + -36y = 0 + 72 Combine like terms: -72 + 72 = 0 0 + 2x2 + x2y + -36y = 0 + 72 2x2 + x2y + -36y = 0 + 72 Combine like terms: 0 + 72 = 72 2x2 + x2y + -36y = 72 Add '36y' to each side of the equation. 2x2 + x2y + -36y + 36y = 72 + 36y Combine like terms: -36y + 36y = 0 2x2 + x2y + 0 = 72 + 36y 2x2 + x2y = 72 + 36y Reorder the terms: -72 + 2x2 + x2y + -36y = 72 + 36y + -72 + -36y Reorder the terms: -72 + 2x2 + x2y + -36y = 72 + -72 + 36y + -36y Combine like terms: 72 + -72 = 0 -72 + 2x2 + x2y + -36y = 0 + 36y + -36y -72 + 2x2 + x2y + -36y = 36y + -36y Combine like terms: 36y + -36y = 0 -72 + 2x2 + x2y + -36y = 0 The solution to this equation could not be determined.
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