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Simplifying (x + -30)(x + -30)(x + -60)(x + -120) = 0 Reorder the terms: (-30 + x)(x + -30)(x + -60)(x + -120) = 0 Reorder the terms: (-30 + x)(-30 + x)(x + -60)(x + -120) = 0 Reorder the terms: (-30 + x)(-30 + x)(-60 + x)(x + -120) = 0 Reorder the terms: (-30 + x)(-30 + x)(-60 + x)(-120 + x) = 0 Multiply (-30 + x) * (-30 + x) (-30(-30 + x) + x(-30 + x))(-60 + x)(-120 + x) = 0 ((-30 * -30 + x * -30) + x(-30 + x))(-60 + x)(-120 + x) = 0 ((900 + -30x) + x(-30 + x))(-60 + x)(-120 + x) = 0 (900 + -30x + (-30 * x + x * x))(-60 + x)(-120 + x) = 0 (900 + -30x + (-30x + x2))(-60 + x)(-120 + x) = 0 Combine like terms: -30x + -30x = -60x (900 + -60x + x2)(-60 + x)(-120 + x) = 0 Multiply (900 + -60x + x2) * (-60 + x) (900(-60 + x) + -60x * (-60 + x) + x2(-60 + x))(-120 + x) = 0 ((-60 * 900 + x * 900) + -60x * (-60 + x) + x2(-60 + x))(-120 + x) = 0 ((-54000 + 900x) + -60x * (-60 + x) + x2(-60 + x))(-120 + x) = 0 (-54000 + 900x + (-60 * -60x + x * -60x) + x2(-60 + x))(-120 + x) = 0 (-54000 + 900x + (3600x + -60x2) + x2(-60 + x))(-120 + x) = 0 (-54000 + 900x + 3600x + -60x2 + (-60 * x2 + x * x2))(-120 + x) = 0 (-54000 + 900x + 3600x + -60x2 + (-60x2 + x3))(-120 + x) = 0 Combine like terms: 900x + 3600x = 4500x (-54000 + 4500x + -60x2 + -60x2 + x3)(-120 + x) = 0 Combine like terms: -60x2 + -60x2 = -120x2 (-54000 + 4500x + -120x2 + x3)(-120 + x) = 0 Multiply (-54000 + 4500x + -120x2 + x3) * (-120 + x) (-54000(-120 + x) + 4500x * (-120 + x) + -120x2 * (-120 + x) + x3(-120 + x)) = 0 ((-120 * -54000 + x * -54000) + 4500x * (-120 + x) + -120x2 * (-120 + x) + x3(-120 + x)) = 0 ((6480000 + -54000x) + 4500x * (-120 + x) + -120x2 * (-120 + x) + x3(-120 + x)) = 0 (6480000 + -54000x + (-120 * 4500x + x * 4500x) + -120x2 * (-120 + x) + x3(-120 + x)) = 0 (6480000 + -54000x + (-540000x + 4500x2) + -120x2 * (-120 + x) + x3(-120 + x)) = 0 (6480000 + -54000x + -540000x + 4500x2 + (-120 * -120x2 + x * -120x2) + x3(-120 + x)) = 0 (6480000 + -54000x + -540000x + 4500x2 + (14400x2 + -120x3) + x3(-120 + x)) = 0 (6480000 + -54000x + -540000x + 4500x2 + 14400x2 + -120x3 + (-120 * x3 + x * x3)) = 0 (6480000 + -54000x + -540000x + 4500x2 + 14400x2 + -120x3 + (-120x3 + x4)) = 0 Combine like terms: -54000x + -540000x = -594000x (6480000 + -594000x + 4500x2 + 14400x2 + -120x3 + -120x3 + x4) = 0 Combine like terms: 4500x2 + 14400x2 = 18900x2 (6480000 + -594000x + 18900x2 + -120x3 + -120x3 + x4) = 0 Combine like terms: -120x3 + -120x3 = -240x3 (6480000 + -594000x + 18900x2 + -240x3 + x4) = 0 Solving 6480000 + -594000x + 18900x2 + -240x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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