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Simplifying y = (x + 0)(x + -30)(x + -60)(x + -90)(x + -120) Reorder the terms: y = (0 + x)(x + -30)(x + -60)(x + -90)(x + -120) Remove the zero: y = (x)(x + -30)(x + -60)(x + -90)(x + -120) Reorder the terms: y = x(-30 + x)(x + -60)(x + -90)(x + -120) Reorder the terms: y = x(-30 + x)(-60 + x)(x + -90)(x + -120) Reorder the terms: y = x(-30 + x)(-60 + x)(-90 + x)(x + -120) Reorder the terms: y = x(-30 + x)(-60 + x)(-90 + x)(-120 + x) Multiply (-30 + x) * (-60 + x) y = x(-30(-60 + x) + x(-60 + x))(-90 + x)(-120 + x) y = x((-60 * -30 + x * -30) + x(-60 + x))(-90 + x)(-120 + x) y = x((1800 + -30x) + x(-60 + x))(-90 + x)(-120 + x) y = x(1800 + -30x + (-60 * x + x * x))(-90 + x)(-120 + x) y = x(1800 + -30x + (-60x + x2))(-90 + x)(-120 + x) Combine like terms: -30x + -60x = -90x y = x(1800 + -90x + x2)(-90 + x)(-120 + x) Multiply (1800 + -90x + x2) * (-90 + x) y = x(1800(-90 + x) + -90x * (-90 + x) + x2(-90 + x))(-120 + x) y = x((-90 * 1800 + x * 1800) + -90x * (-90 + x) + x2(-90 + x))(-120 + x) y = x((-162000 + 1800x) + -90x * (-90 + x) + x2(-90 + x))(-120 + x) y = x(-162000 + 1800x + (-90 * -90x + x * -90x) + x2(-90 + x))(-120 + x) y = x(-162000 + 1800x + (8100x + -90x2) + x2(-90 + x))(-120 + x) y = x(-162000 + 1800x + 8100x + -90x2 + (-90 * x2 + x * x2))(-120 + x) y = x(-162000 + 1800x + 8100x + -90x2 + (-90x2 + x3))(-120 + x) Combine like terms: 1800x + 8100x = 9900x y = x(-162000 + 9900x + -90x2 + -90x2 + x3)(-120 + x) Combine like terms: -90x2 + -90x2 = -180x2 y = x(-162000 + 9900x + -180x2 + x3)(-120 + x) Multiply (-162000 + 9900x + -180x2 + x3) * (-120 + x) y = x(-162000(-120 + x) + 9900x * (-120 + x) + -180x2 * (-120 + x) + x3(-120 + x)) y = x((-120 * -162000 + x * -162000) + 9900x * (-120 + x) + -180x2 * (-120 + x) + x3(-120 + x)) y = x((19440000 + -162000x) + 9900x * (-120 + x) + -180x2 * (-120 + x) + x3(-120 + x)) y = x(19440000 + -162000x + (-120 * 9900x + x * 9900x) + -180x2 * (-120 + x) + x3(-120 + x)) y = x(19440000 + -162000x + (-1188000x + 9900x2) + -180x2 * (-120 + x) + x3(-120 + x)) y = x(19440000 + -162000x + -1188000x + 9900x2 + (-120 * -180x2 + x * -180x2) + x3(-120 + x)) y = x(19440000 + -162000x + -1188000x + 9900x2 + (21600x2 + -180x3) + x3(-120 + x)) y = x(19440000 + -162000x + -1188000x + 9900x2 + 21600x2 + -180x3 + (-120 * x3 + x * x3)) y = x(19440000 + -162000x + -1188000x + 9900x2 + 21600x2 + -180x3 + (-120x3 + x4)) Combine like terms: -162000x + -1188000x = -1350000x y = x(19440000 + -1350000x + 9900x2 + 21600x2 + -180x3 + -120x3 + x4) Combine like terms: 9900x2 + 21600x2 = 31500x2 y = x(19440000 + -1350000x + 31500x2 + -180x3 + -120x3 + x4) Combine like terms: -180x3 + -120x3 = -300x3 y = x(19440000 + -1350000x + 31500x2 + -300x3 + x4) y = (19440000 * x + -1350000x * x + 31500x2 * x + -300x3 * x + x4 * x) y = (19440000x + -1350000x2 + 31500x3 + -300x4 + x5) Solving y = 19440000x + -1350000x2 + 31500x3 + -300x4 + x5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 19440000x + -1350000x2 + 31500x3 + -300x4 + x5
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