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Simplifying (25x2 + -100x + 50)(50x + -50)(2x) + -1(-100x)(5 + -5x)(10x2) = 0 Reorder the terms: (50 + -100x + 25x2)(50x + -50)(2x) + -1(-100x)(5 + -5x)(10x2) = 0 Reorder the terms: (50 + -100x + 25x2)(-50 + 50x)(2x) + -1(-100x)(5 + -5x)(10x2) = 0 Remove parenthesis around (2x) (50 + -100x + 25x2)(-50 + 50x) * 2x + -1(-100x)(5 + -5x)(10x2) = 0 Reorder the terms for easier multiplication: 2x(50 + -100x + 25x2)(-50 + 50x) + -1(-100x)(5 + -5x)(10x2) = 0 Multiply (50 + -100x + 25x2) * (-50 + 50x) 2x(50(-50 + 50x) + -100x * (-50 + 50x) + 25x2 * (-50 + 50x)) + -1(-100x)(5 + -5x)(10x2) = 0 2x((-50 * 50 + 50x * 50) + -100x * (-50 + 50x) + 25x2 * (-50 + 50x)) + -1(-100x)(5 + -5x)(10x2) = 0 2x((-2500 + 2500x) + -100x * (-50 + 50x) + 25x2 * (-50 + 50x)) + -1(-100x)(5 + -5x)(10x2) = 0 2x(-2500 + 2500x + (-50 * -100x + 50x * -100x) + 25x2 * (-50 + 50x)) + -1(-100x)(5 + -5x)(10x2) = 0 2x(-2500 + 2500x + (5000x + -5000x2) + 25x2 * (-50 + 50x)) + -1(-100x)(5 + -5x)(10x2) = 0 2x(-2500 + 2500x + 5000x + -5000x2 + (-50 * 25x2 + 50x * 25x2)) + -1(-100x)(5 + -5x)(10x2) = 0 2x(-2500 + 2500x + 5000x + -5000x2 + (-1250x2 + 1250x3)) + -1(-100x)(5 + -5x)(10x2) = 0 Combine like terms: 2500x + 5000x = 7500x 2x(-2500 + 7500x + -5000x2 + -1250x2 + 1250x3) + -1(-100x)(5 + -5x)(10x2) = 0 Combine like terms: -5000x2 + -1250x2 = -6250x2 2x(-2500 + 7500x + -6250x2 + 1250x3) + -1(-100x)(5 + -5x)(10x2) = 0 (-2500 * 2x + 7500x * 2x + -6250x2 * 2x + 1250x3 * 2x) + -1(-100x)(5 + -5x)(10x2) = 0 (-5000x + 15000x2 + -12500x3 + 2500x4) + -1(-100x)(5 + -5x)(10x2) = 0 Remove parenthesis around (-100x) -5000x + 15000x2 + -12500x3 + 2500x4 + -1 * -100x(5 + -5x)(10x2) = 0 Remove parenthesis around (10x2) -5000x + 15000x2 + -12500x3 + 2500x4 + -1 * -100x(5 + -5x) * 10x2 = 0 Reorder the terms for easier multiplication: -5000x + 15000x2 + -12500x3 + 2500x4 + -1 * -100 * 10x * x2(5 + -5x) = 0 Multiply -1 * -100 -5000x + 15000x2 + -12500x3 + 2500x4 + 100 * 10x * x2(5 + -5x) = 0 Multiply 100 * 10 -5000x + 15000x2 + -12500x3 + 2500x4 + 1000x * x2(5 + -5x) = 0 Multiply x * x2 -5000x + 15000x2 + -12500x3 + 2500x4 + 1000x3(5 + -5x) = 0 -5000x + 15000x2 + -12500x3 + 2500x4 + (5 * 1000x3 + -5x * 1000x3) = 0 -5000x + 15000x2 + -12500x3 + 2500x4 + (5000x3 + -5000x4) = 0 Reorder the terms: -5000x + 15000x2 + -12500x3 + 5000x3 + 2500x4 + -5000x4 = 0 Combine like terms: -12500x3 + 5000x3 = -7500x3 -5000x + 15000x2 + -7500x3 + 2500x4 + -5000x4 = 0 Combine like terms: 2500x4 + -5000x4 = -2500x4 -5000x + 15000x2 + -7500x3 + -2500x4 = 0 Solving -5000x + 15000x2 + -7500x3 + -2500x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2500x'. 2500x(-2 + 6x + -3x2 + -1x3) = 0 Ignore the factor 2500.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-2 + 6x + -3x2 + -1x3)' equal to zero and attempt to solve: Simplifying -2 + 6x + -3x2 + -1x3 = 0 Solving -2 + 6x + -3x2 + -1x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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