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Simplifying 25x2(y + -6)(y + -6) + 15x(y + -6)(y + -6) + 9(y + -6)(y + -6) = 0 Reorder the terms: 25x2(-6 + y)(y + -6) + 15x(y + -6)(y + -6) + 9(y + -6)(y + -6) = 0 Reorder the terms: 25x2(-6 + y)(-6 + y) + 15x(y + -6)(y + -6) + 9(y + -6)(y + -6) = 0 Multiply (-6 + y) * (-6 + y) 25x2(-6(-6 + y) + y(-6 + y)) + 15x(y + -6)(y + -6) + 9(y + -6)(y + -6) = 0 25x2((-6 * -6 + y * -6) + y(-6 + y)) + 15x(y + -6)(y + -6) + 9(y + -6)(y + -6) = 0 25x2((36 + -6y) + y(-6 + y)) + 15x(y + -6)(y + -6) + 9(y + -6)(y + -6) = 0 25x2(36 + -6y + (-6 * y + y * y)) + 15x(y + -6)(y + -6) + 9(y + -6)(y + -6) = 0 25x2(36 + -6y + (-6y + y2)) + 15x(y + -6)(y + -6) + 9(y + -6)(y + -6) = 0 Combine like terms: -6y + -6y = -12y 25x2(36 + -12y + y2) + 15x(y + -6)(y + -6) + 9(y + -6)(y + -6) = 0 (36 * 25x2 + -12y * 25x2 + y2 * 25x2) + 15x(y + -6)(y + -6) + 9(y + -6)(y + -6) = 0 (900x2 + -300x2y + 25x2y2) + 15x(y + -6)(y + -6) + 9(y + -6)(y + -6) = 0 Reorder the terms: 900x2 + -300x2y + 25x2y2 + 15x(-6 + y)(y + -6) + 9(y + -6)(y + -6) = 0 Reorder the terms: 900x2 + -300x2y + 25x2y2 + 15x(-6 + y)(-6 + y) + 9(y + -6)(y + -6) = 0 Multiply (-6 + y) * (-6 + y) 900x2 + -300x2y + 25x2y2 + 15x(-6(-6 + y) + y(-6 + y)) + 9(y + -6)(y + -6) = 0 900x2 + -300x2y + 25x2y2 + 15x((-6 * -6 + y * -6) + y(-6 + y)) + 9(y + -6)(y + -6) = 0 900x2 + -300x2y + 25x2y2 + 15x((36 + -6y) + y(-6 + y)) + 9(y + -6)(y + -6) = 0 900x2 + -300x2y + 25x2y2 + 15x(36 + -6y + (-6 * y + y * y)) + 9(y + -6)(y + -6) = 0 900x2 + -300x2y + 25x2y2 + 15x(36 + -6y + (-6y + y2)) + 9(y + -6)(y + -6) = 0 Combine like terms: -6y + -6y = -12y 900x2 + -300x2y + 25x2y2 + 15x(36 + -12y + y2) + 9(y + -6)(y + -6) = 0 900x2 + -300x2y + 25x2y2 + (36 * 15x + -12y * 15x + y2 * 15x) + 9(y + -6)(y + -6) = 0 900x2 + -300x2y + 25x2y2 + (540x + -180xy + 15xy2) + 9(y + -6)(y + -6) = 0 Reorder the terms: 900x2 + -300x2y + 25x2y2 + 540x + -180xy + 15xy2 + 9(-6 + y)(y + -6) = 0 Reorder the terms: 900x2 + -300x2y + 25x2y2 + 540x + -180xy + 15xy2 + 9(-6 + y)(-6 + y) = 0 Multiply (-6 + y) * (-6 + y) 900x2 + -300x2y + 25x2y2 + 540x + -180xy + 15xy2 + 9(-6(-6 + y) + y(-6 + y)) = 0 900x2 + -300x2y + 25x2y2 + 540x + -180xy + 15xy2 + 9((-6 * -6 + y * -6) + y(-6 + y)) = 0 900x2 + -300x2y + 25x2y2 + 540x + -180xy + 15xy2 + 9((36 + -6y) + y(-6 + y)) = 0 900x2 + -300x2y + 25x2y2 + 540x + -180xy + 15xy2 + 9(36 + -6y + (-6 * y + y * y)) = 0 900x2 + -300x2y + 25x2y2 + 540x + -180xy + 15xy2 + 9(36 + -6y + (-6y + y2)) = 0 Combine like terms: -6y + -6y = -12y 900x2 + -300x2y + 25x2y2 + 540x + -180xy + 15xy2 + 9(36 + -12y + y2) = 0 900x2 + -300x2y + 25x2y2 + 540x + -180xy + 15xy2 + (36 * 9 + -12y * 9 + y2 * 9) = 0 900x2 + -300x2y + 25x2y2 + 540x + -180xy + 15xy2 + (324 + -108y + 9y2) = 0 Reorder the terms: 324 + 540x + -180xy + 15xy2 + 900x2 + -300x2y + 25x2y2 + -108y + 9y2 = 0 Solving 324 + 540x + -180xy + 15xy2 + 900x2 + -300x2y + 25x2y2 + -108y + 9y2 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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