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Simplifying 0 = (x + -5)(x + -10)(x + -19)(x + -95)(x + -50) Reorder the terms: 0 = (-5 + x)(x + -10)(x + -19)(x + -95)(x + -50) Reorder the terms: 0 = (-5 + x)(-10 + x)(x + -19)(x + -95)(x + -50) Reorder the terms: 0 = (-5 + x)(-10 + x)(-19 + x)(x + -95)(x + -50) Reorder the terms: 0 = (-5 + x)(-10 + x)(-19 + x)(-95 + x)(x + -50) Reorder the terms: 0 = (-5 + x)(-10 + x)(-19 + x)(-95 + x)(-50 + x) Multiply (-5 + x) * (-10 + x) 0 = (-5(-10 + x) + x(-10 + x))(-19 + x)(-95 + x)(-50 + x) 0 = ((-10 * -5 + x * -5) + x(-10 + x))(-19 + x)(-95 + x)(-50 + x) 0 = ((50 + -5x) + x(-10 + x))(-19 + x)(-95 + x)(-50 + x) 0 = (50 + -5x + (-10 * x + x * x))(-19 + x)(-95 + x)(-50 + x) 0 = (50 + -5x + (-10x + x2))(-19 + x)(-95 + x)(-50 + x) Combine like terms: -5x + -10x = -15x 0 = (50 + -15x + x2)(-19 + x)(-95 + x)(-50 + x) Multiply (50 + -15x + x2) * (-19 + x) 0 = (50(-19 + x) + -15x * (-19 + x) + x2(-19 + x))(-95 + x)(-50 + x) 0 = ((-19 * 50 + x * 50) + -15x * (-19 + x) + x2(-19 + x))(-95 + x)(-50 + x) 0 = ((-950 + 50x) + -15x * (-19 + x) + x2(-19 + x))(-95 + x)(-50 + x) 0 = (-950 + 50x + (-19 * -15x + x * -15x) + x2(-19 + x))(-95 + x)(-50 + x) 0 = (-950 + 50x + (285x + -15x2) + x2(-19 + x))(-95 + x)(-50 + x) 0 = (-950 + 50x + 285x + -15x2 + (-19 * x2 + x * x2))(-95 + x)(-50 + x) 0 = (-950 + 50x + 285x + -15x2 + (-19x2 + x3))(-95 + x)(-50 + x) Combine like terms: 50x + 285x = 335x 0 = (-950 + 335x + -15x2 + -19x2 + x3)(-95 + x)(-50 + x) Combine like terms: -15x2 + -19x2 = -34x2 0 = (-950 + 335x + -34x2 + x3)(-95 + x)(-50 + x) Multiply (-950 + 335x + -34x2 + x3) * (-95 + x) 0 = (-950(-95 + x) + 335x * (-95 + x) + -34x2 * (-95 + x) + x3(-95 + x))(-50 + x) 0 = ((-95 * -950 + x * -950) + 335x * (-95 + x) + -34x2 * (-95 + x) + x3(-95 + x))(-50 + x) 0 = ((90250 + -950x) + 335x * (-95 + x) + -34x2 * (-95 + x) + x3(-95 + x))(-50 + x) 0 = (90250 + -950x + (-95 * 335x + x * 335x) + -34x2 * (-95 + x) + x3(-95 + x))(-50 + x) 0 = (90250 + -950x + (-31825x + 335x2) + -34x2 * (-95 + x) + x3(-95 + x))(-50 + x) 0 = (90250 + -950x + -31825x + 335x2 + (-95 * -34x2 + x * -34x2) + x3(-95 + x))(-50 + x) 0 = (90250 + -950x + -31825x + 335x2 + (3230x2 + -34x3) + x3(-95 + x))(-50 + x) 0 = (90250 + -950x + -31825x + 335x2 + 3230x2 + -34x3 + (-95 * x3 + x * x3))(-50 + x) 0 = (90250 + -950x + -31825x + 335x2 + 3230x2 + -34x3 + (-95x3 + x4))(-50 + x) Combine like terms: -950x + -31825x = -32775x 0 = (90250 + -32775x + 335x2 + 3230x2 + -34x3 + -95x3 + x4)(-50 + x) Combine like terms: 335x2 + 3230x2 = 3565x2 0 = (90250 + -32775x + 3565x2 + -34x3 + -95x3 + x4)(-50 + x) Combine like terms: -34x3 + -95x3 = -129x3 0 = (90250 + -32775x + 3565x2 + -129x3 + x4)(-50 + x) Multiply (90250 + -32775x + 3565x2 + -129x3 + x4) * (-50 + x) 0 = (90250(-50 + x) + -32775x * (-50 + x) + 3565x2 * (-50 + x) + -129x3 * (-50 + x) + x4(-50 + x)) 0 = ((-50 * 90250 + x * 90250) + -32775x * (-50 + x) + 3565x2 * (-50 + x) + -129x3 * (-50 + x) + x4(-50 + x)) 0 = ((-4512500 + 90250x) + -32775x * (-50 + x) + 3565x2 * (-50 + x) + -129x3 * (-50 + x) + x4(-50 + x)) 0 = (-4512500 + 90250x + (-50 * -32775x + x * -32775x) + 3565x2 * (-50 + x) + -129x3 * (-50 + x) + x4(-50 + x)) 0 = (-4512500 + 90250x + (1638750x + -32775x2) + 3565x2 * (-50 + x) + -129x3 * (-50 + x) + x4(-50 + x)) 0 = (-4512500 + 90250x + 1638750x + -32775x2 + (-50 * 3565x2 + x * 3565x2) + -129x3 * (-50 + x) + x4(-50 + x)) 0 = (-4512500 + 90250x + 1638750x + -32775x2 + (-178250x2 + 3565x3) + -129x3 * (-50 + x) + x4(-50 + x)) 0 = (-4512500 + 90250x + 1638750x + -32775x2 + -178250x2 + 3565x3 + (-50 * -129x3 + x * -129x3) + x4(-50 + x)) 0 = (-4512500 + 90250x + 1638750x + -32775x2 + -178250x2 + 3565x3 + (6450x3 + -129x4) + x4(-50 + x)) 0 = (-4512500 + 90250x + 1638750x + -32775x2 + -178250x2 + 3565x3 + 6450x3 + -129x4 + (-50 * x4 + x * x4)) 0 = (-4512500 + 90250x + 1638750x + -32775x2 + -178250x2 + 3565x3 + 6450x3 + -129x4 + (-50x4 + x5)) Combine like terms: 90250x + 1638750x = 1729000x 0 = (-4512500 + 1729000x + -32775x2 + -178250x2 + 3565x3 + 6450x3 + -129x4 + -50x4 + x5) Combine like terms: -32775x2 + -178250x2 = -211025x2 0 = (-4512500 + 1729000x + -211025x2 + 3565x3 + 6450x3 + -129x4 + -50x4 + x5) Combine like terms: 3565x3 + 6450x3 = 10015x3 0 = (-4512500 + 1729000x + -211025x2 + 10015x3 + -129x4 + -50x4 + x5) Combine like terms: -129x4 + -50x4 = -179x4 0 = (-4512500 + 1729000x + -211025x2 + 10015x3 + -179x4 + x5) Solving 0 = -4512500 + 1729000x + -211025x2 + 10015x3 + -179x4 + x5 Solving for variable 'x'. Combine like terms: 0 + 4512500 = 4512500 4512500 + -1729000x + 211025x2 + -10015x3 + 179x4 + -1x5 = -4512500 + 1729000x + -211025x2 + 10015x3 + -179x4 + x5 + 4512500 + -1729000x + 211025x2 + -10015x3 + 179x4 + -1x5 Reorder the terms: 4512500 + -1729000x + 211025x2 + -10015x3 + 179x4 + -1x5 = -4512500 + 4512500 + 1729000x + -1729000x + -211025x2 + 211025x2 + 10015x3 + -10015x3 + -179x4 + 179x4 + x5 + -1x5 Combine like terms: -4512500 + 4512500 = 0 4512500 + -1729000x + 211025x2 + -10015x3 + 179x4 + -1x5 = 0 + 1729000x + -1729000x + -211025x2 + 211025x2 + 10015x3 + -10015x3 + -179x4 + 179x4 + x5 + -1x5 4512500 + -1729000x + 211025x2 + -10015x3 + 179x4 + -1x5 = 1729000x + -1729000x + -211025x2 + 211025x2 + 10015x3 + -10015x3 + -179x4 + 179x4 + x5 + -1x5 Combine like terms: 1729000x + -1729000x = 0 4512500 + -1729000x + 211025x2 + -10015x3 + 179x4 + -1x5 = 0 + -211025x2 + 211025x2 + 10015x3 + -10015x3 + -179x4 + 179x4 + x5 + -1x5 4512500 + -1729000x + 211025x2 + -10015x3 + 179x4 + -1x5 = -211025x2 + 211025x2 + 10015x3 + -10015x3 + -179x4 + 179x4 + x5 + -1x5 Combine like terms: -211025x2 + 211025x2 = 0 4512500 + -1729000x + 211025x2 + -10015x3 + 179x4 + -1x5 = 0 + 10015x3 + -10015x3 + -179x4 + 179x4 + x5 + -1x5 4512500 + -1729000x + 211025x2 + -10015x3 + 179x4 + -1x5 = 10015x3 + -10015x3 + -179x4 + 179x4 + x5 + -1x5 Combine like terms: 10015x3 + -10015x3 = 0 4512500 + -1729000x + 211025x2 + -10015x3 + 179x4 + -1x5 = 0 + -179x4 + 179x4 + x5 + -1x5 4512500 + -1729000x + 211025x2 + -10015x3 + 179x4 + -1x5 = -179x4 + 179x4 + x5 + -1x5 Combine like terms: -179x4 + 179x4 = 0 4512500 + -1729000x + 211025x2 + -10015x3 + 179x4 + -1x5 = 0 + x5 + -1x5 4512500 + -1729000x + 211025x2 + -10015x3 + 179x4 + -1x5 = x5 + -1x5 Combine like terms: x5 + -1x5 = 0 4512500 + -1729000x + 211025x2 + -10015x3 + 179x4 + -1x5 = 0 The solution to this equation could not be determined.
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