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Simplifying 0 = (x + -10)(x + -100)(x + -500)(x + -1250)(x + -1502.5) Reorder the terms: 0 = (-10 + x)(x + -100)(x + -500)(x + -1250)(x + -1502.5) Reorder the terms: 0 = (-10 + x)(-100 + x)(x + -500)(x + -1250)(x + -1502.5) Reorder the terms: 0 = (-10 + x)(-100 + x)(-500 + x)(x + -1250)(x + -1502.5) Reorder the terms: 0 = (-10 + x)(-100 + x)(-500 + x)(-1250 + x)(x + -1502.5) Reorder the terms: 0 = (-10 + x)(-100 + x)(-500 + x)(-1250 + x)(-1502.5 + x) Multiply (-10 + x) * (-100 + x) 0 = (-10(-100 + x) + x(-100 + x))(-500 + x)(-1250 + x)(-1502.5 + x) 0 = ((-100 * -10 + x * -10) + x(-100 + x))(-500 + x)(-1250 + x)(-1502.5 + x) 0 = ((1000 + -10x) + x(-100 + x))(-500 + x)(-1250 + x)(-1502.5 + x) 0 = (1000 + -10x + (-100 * x + x * x))(-500 + x)(-1250 + x)(-1502.5 + x) 0 = (1000 + -10x + (-100x + x2))(-500 + x)(-1250 + x)(-1502.5 + x) Combine like terms: -10x + -100x = -110x 0 = (1000 + -110x + x2)(-500 + x)(-1250 + x)(-1502.5 + x) Multiply (1000 + -110x + x2) * (-500 + x) 0 = (1000(-500 + x) + -110x * (-500 + x) + x2(-500 + x))(-1250 + x)(-1502.5 + x) 0 = ((-500 * 1000 + x * 1000) + -110x * (-500 + x) + x2(-500 + x))(-1250 + x)(-1502.5 + x) 0 = ((-500000 + 1000x) + -110x * (-500 + x) + x2(-500 + x))(-1250 + x)(-1502.5 + x) 0 = (-500000 + 1000x + (-500 * -110x + x * -110x) + x2(-500 + x))(-1250 + x)(-1502.5 + x) 0 = (-500000 + 1000x + (55000x + -110x2) + x2(-500 + x))(-1250 + x)(-1502.5 + x) 0 = (-500000 + 1000x + 55000x + -110x2 + (-500 * x2 + x * x2))(-1250 + x)(-1502.5 + x) 0 = (-500000 + 1000x + 55000x + -110x2 + (-500x2 + x3))(-1250 + x)(-1502.5 + x) Combine like terms: 1000x + 55000x = 56000x 0 = (-500000 + 56000x + -110x2 + -500x2 + x3)(-1250 + x)(-1502.5 + x) Combine like terms: -110x2 + -500x2 = -610x2 0 = (-500000 + 56000x + -610x2 + x3)(-1250 + x)(-1502.5 + x) Multiply (-500000 + 56000x + -610x2 + x3) * (-1250 + x) 0 = (-500000(-1250 + x) + 56000x * (-1250 + x) + -610x2 * (-1250 + x) + x3(-1250 + x))(-1502.5 + x) 0 = ((-1250 * -500000 + x * -500000) + 56000x * (-1250 + x) + -610x2 * (-1250 + x) + x3(-1250 + x))(-1502.5 + x) 0 = ((625000000 + -500000x) + 56000x * (-1250 + x) + -610x2 * (-1250 + x) + x3(-1250 + x))(-1502.5 + x) 0 = (625000000 + -500000x + (-1250 * 56000x + x * 56000x) + -610x2 * (-1250 + x) + x3(-1250 + x))(-1502.5 + x) 0 = (625000000 + -500000x + (-70000000x + 56000x2) + -610x2 * (-1250 + x) + x3(-1250 + x))(-1502.5 + x) 0 = (625000000 + -500000x + -70000000x + 56000x2 + (-1250 * -610x2 + x * -610x2) + x3(-1250 + x))(-1502.5 + x) 0 = (625000000 + -500000x + -70000000x + 56000x2 + (762500x2 + -610x3) + x3(-1250 + x))(-1502.5 + x) 0 = (625000000 + -500000x + -70000000x + 56000x2 + 762500x2 + -610x3 + (-1250 * x3 + x * x3))(-1502.5 + x) 0 = (625000000 + -500000x + -70000000x + 56000x2 + 762500x2 + -610x3 + (-1250x3 + x4))(-1502.5 + x) Combine like terms: -500000x + -70000000x = -70500000x 0 = (625000000 + -70500000x + 56000x2 + 762500x2 + -610x3 + -1250x3 + x4)(-1502.5 + x) Combine like terms: 56000x2 + 762500x2 = 818500x2 0 = (625000000 + -70500000x + 818500x2 + -610x3 + -1250x3 + x4)(-1502.5 + x) Combine like terms: -610x3 + -1250x3 = -1860x3 0 = (625000000 + -70500000x + 818500x2 + -1860x3 + x4)(-1502.5 + x) Multiply (625000000 + -70500000x + 818500x2 + -1860x3 + x4) * (-1502.5 + x) 0 = (625000000(-1502.5 + x) + -70500000x * (-1502.5 + x) + 818500x2 * (-1502.5 + x) + -1860x3 * (-1502.5 + x) + x4(-1502.5 + x)) 0 = ((-1502.5 * 625000000 + x * 625000000) + -70500000x * (-1502.5 + x) + 818500x2 * (-1502.5 + x) + -1860x3 * (-1502.5 + x) + x4(-1502.5 + x)) 0 = ((-939062500000 + 625000000x) + -70500000x * (-1502.5 + x) + 818500x2 * (-1502.5 + x) + -1860x3 * (-1502.5 + x) + x4(-1502.5 + x)) 0 = (-939062500000 + 625000000x + (-1502.5 * -70500000x + x * -70500000x) + 818500x2 * (-1502.5 + x) + -1860x3 * (-1502.5 + x) + x4(-1502.5 + x)) 0 = (-939062500000 + 625000000x + (105926250000x + -70500000x2) + 818500x2 * (-1502.5 + x) + -1860x3 * (-1502.5 + x) + x4(-1502.5 + x)) 0 = (-939062500000 + 625000000x + 105926250000x + -70500000x2 + (-1502.5 * 818500x2 + x * 818500x2) + -1860x3 * (-1502.5 + x) + x4(-1502.5 + x)) 0 = (-939062500000 + 625000000x + 105926250000x + -70500000x2 + (-1229796250x2 + 818500x3) + -1860x3 * (-1502.5 + x) + x4(-1502.5 + x)) 0 = (-939062500000 + 625000000x + 105926250000x + -70500000x2 + -1229796250x2 + 818500x3 + (-1502.5 * -1860x3 + x * -1860x3) + x4(-1502.5 + x)) 0 = (-939062500000 + 625000000x + 105926250000x + -70500000x2 + -1229796250x2 + 818500x3 + (2794650x3 + -1860x4) + x4(-1502.5 + x)) 0 = (-939062500000 + 625000000x + 105926250000x + -70500000x2 + -1229796250x2 + 818500x3 + 2794650x3 + -1860x4 + (-1502.5 * x4 + x * x4)) 0 = (-939062500000 + 625000000x + 105926250000x + -70500000x2 + -1229796250x2 + 818500x3 + 2794650x3 + -1860x4 + (-1502.5x4 + x5)) Combine like terms: 625000000x + 105926250000x = 106551250000x 0 = (-939062500000 + 106551250000x + -70500000x2 + -1229796250x2 + 818500x3 + 2794650x3 + -1860x4 + -1502.5x4 + x5) Combine like terms: -70500000x2 + -1229796250x2 = -1300296250x2 0 = (-939062500000 + 106551250000x + -1300296250x2 + 818500x3 + 2794650x3 + -1860x4 + -1502.5x4 + x5) Combine like terms: 818500x3 + 2794650x3 = 3613150x3 0 = (-939062500000 + 106551250000x + -1300296250x2 + 3613150x3 + -1860x4 + -1502.5x4 + x5) Combine like terms: -1860x4 + -1502.5x4 = -3362.5x4 0 = (-939062500000 + 106551250000x + -1300296250x2 + 3613150x3 + -3362.5x4 + x5) Solving 0 = -939062500000 + 106551250000x + -1300296250x2 + 3613150x3 + -3362.5x4 + x5 Solving for variable 'x'. Combine like terms: 0 + 939062500000 = 939062500000 939062500000 + -106551250000x + 1300296250x2 + -3613150x3 + 3362.5x4 + -1x5 = -939062500000 + 106551250000x + -1300296250x2 + 3613150x3 + -3362.5x4 + x5 + 939062500000 + -106551250000x + 1300296250x2 + -3613150x3 + 3362.5x4 + -1x5 Reorder the terms: 939062500000 + -106551250000x + 1300296250x2 + -3613150x3 + 3362.5x4 + -1x5 = -939062500000 + 939062500000 + 106551250000x + -106551250000x + -1300296250x2 + 1300296250x2 + 3613150x3 + -3613150x3 + -3362.5x4 + 3362.5x4 + x5 + -1x5 Combine like terms: -939062500000 + 939062500000 = 0 939062500000 + -106551250000x + 1300296250x2 + -3613150x3 + 3362.5x4 + -1x5 = 0 + 106551250000x + -106551250000x + -1300296250x2 + 1300296250x2 + 3613150x3 + -3613150x3 + -3362.5x4 + 3362.5x4 + x5 + -1x5 939062500000 + -106551250000x + 1300296250x2 + -3613150x3 + 3362.5x4 + -1x5 = 106551250000x + -106551250000x + -1300296250x2 + 1300296250x2 + 3613150x3 + -3613150x3 + -3362.5x4 + 3362.5x4 + x5 + -1x5 Combine like terms: 106551250000x + -106551250000x = 0 939062500000 + -106551250000x + 1300296250x2 + -3613150x3 + 3362.5x4 + -1x5 = 0 + -1300296250x2 + 1300296250x2 + 3613150x3 + -3613150x3 + -3362.5x4 + 3362.5x4 + x5 + -1x5 939062500000 + -106551250000x + 1300296250x2 + -3613150x3 + 3362.5x4 + -1x5 = -1300296250x2 + 1300296250x2 + 3613150x3 + -3613150x3 + -3362.5x4 + 3362.5x4 + x5 + -1x5 Combine like terms: -1300296250x2 + 1300296250x2 = 0 939062500000 + -106551250000x + 1300296250x2 + -3613150x3 + 3362.5x4 + -1x5 = 0 + 3613150x3 + -3613150x3 + -3362.5x4 + 3362.5x4 + x5 + -1x5 939062500000 + -106551250000x + 1300296250x2 + -3613150x3 + 3362.5x4 + -1x5 = 3613150x3 + -3613150x3 + -3362.5x4 + 3362.5x4 + x5 + -1x5 Combine like terms: 3613150x3 + -3613150x3 = 0 939062500000 + -106551250000x + 1300296250x2 + -3613150x3 + 3362.5x4 + -1x5 = 0 + -3362.5x4 + 3362.5x4 + x5 + -1x5 939062500000 + -106551250000x + 1300296250x2 + -3613150x3 + 3362.5x4 + -1x5 = -3362.5x4 + 3362.5x4 + x5 + -1x5 Combine like terms: -3362.5x4 + 3362.5x4 = 0.0 939062500000 + -106551250000x + 1300296250x2 + -3613150x3 + 3362.5x4 + -1x5 = 0.0 + x5 + -1x5 939062500000 + -106551250000x + 1300296250x2 + -3613150x3 + 3362.5x4 + -1x5 = x5 + -1x5 Combine like terms: x5 + -1x5 = 0 939062500000 + -106551250000x + 1300296250x2 + -3613150x3 + 3362.5x4 + -1x5 = 0 The solution to this equation could not be determined.
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