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Simplifying (x2 + 5)(3 + x4)(100x2 + -10)(100x2 + 10) = 0 Reorder the terms: (5 + x2)(3 + x4)(100x2 + -10)(100x2 + 10) = 0 Reorder the terms: (5 + x2)(3 + x4)(-10 + 100x2)(100x2 + 10) = 0 Reorder the terms: (5 + x2)(3 + x4)(-10 + 100x2)(10 + 100x2) = 0 Multiply (5 + x2) * (3 + x4) (5(3 + x4) + x2(3 + x4))(-10 + 100x2)(10 + 100x2) = 0 ((3 * 5 + x4 * 5) + x2(3 + x4))(-10 + 100x2)(10 + 100x2) = 0 ((15 + 5x4) + x2(3 + x4))(-10 + 100x2)(10 + 100x2) = 0 (15 + 5x4 + (3 * x2 + x4 * x2))(-10 + 100x2)(10 + 100x2) = 0 (15 + 5x4 + (3x2 + x6))(-10 + 100x2)(10 + 100x2) = 0 Reorder the terms: (15 + 3x2 + 5x4 + x6)(-10 + 100x2)(10 + 100x2) = 0 (15 + 3x2 + 5x4 + x6)(-10 + 100x2)(10 + 100x2) = 0 Multiply (15 + 3x2 + 5x4 + x6) * (-10 + 100x2) (15(-10 + 100x2) + 3x2 * (-10 + 100x2) + 5x4 * (-10 + 100x2) + x6(-10 + 100x2))(10 + 100x2) = 0 ((-10 * 15 + 100x2 * 15) + 3x2 * (-10 + 100x2) + 5x4 * (-10 + 100x2) + x6(-10 + 100x2))(10 + 100x2) = 0 ((-150 + 1500x2) + 3x2 * (-10 + 100x2) + 5x4 * (-10 + 100x2) + x6(-10 + 100x2))(10 + 100x2) = 0 (-150 + 1500x2 + (-10 * 3x2 + 100x2 * 3x2) + 5x4 * (-10 + 100x2) + x6(-10 + 100x2))(10 + 100x2) = 0 (-150 + 1500x2 + (-30x2 + 300x4) + 5x4 * (-10 + 100x2) + x6(-10 + 100x2))(10 + 100x2) = 0 (-150 + 1500x2 + -30x2 + 300x4 + (-10 * 5x4 + 100x2 * 5x4) + x6(-10 + 100x2))(10 + 100x2) = 0 (-150 + 1500x2 + -30x2 + 300x4 + (-50x4 + 500x6) + x6(-10 + 100x2))(10 + 100x2) = 0 (-150 + 1500x2 + -30x2 + 300x4 + -50x4 + 500x6 + (-10 * x6 + 100x2 * x6))(10 + 100x2) = 0 (-150 + 1500x2 + -30x2 + 300x4 + -50x4 + 500x6 + (-10x6 + 100x8))(10 + 100x2) = 0 Combine like terms: 1500x2 + -30x2 = 1470x2 (-150 + 1470x2 + 300x4 + -50x4 + 500x6 + -10x6 + 100x8)(10 + 100x2) = 0 Combine like terms: 300x4 + -50x4 = 250x4 (-150 + 1470x2 + 250x4 + 500x6 + -10x6 + 100x8)(10 + 100x2) = 0 Combine like terms: 500x6 + -10x6 = 490x6 (-150 + 1470x2 + 250x4 + 490x6 + 100x8)(10 + 100x2) = 0 Multiply (-150 + 1470x2 + 250x4 + 490x6 + 100x8) * (10 + 100x2) (-150(10 + 100x2) + 1470x2 * (10 + 100x2) + 250x4 * (10 + 100x2) + 490x6 * (10 + 100x2) + 100x8 * (10 + 100x2)) = 0 ((10 * -150 + 100x2 * -150) + 1470x2 * (10 + 100x2) + 250x4 * (10 + 100x2) + 490x6 * (10 + 100x2) + 100x8 * (10 + 100x2)) = 0 ((-1500 + -15000x2) + 1470x2 * (10 + 100x2) + 250x4 * (10 + 100x2) + 490x6 * (10 + 100x2) + 100x8 * (10 + 100x2)) = 0 (-1500 + -15000x2 + (10 * 1470x2 + 100x2 * 1470x2) + 250x4 * (10 + 100x2) + 490x6 * (10 + 100x2) + 100x8 * (10 + 100x2)) = 0 (-1500 + -15000x2 + (14700x2 + 147000x4) + 250x4 * (10 + 100x2) + 490x6 * (10 + 100x2) + 100x8 * (10 + 100x2)) = 0 (-1500 + -15000x2 + 14700x2 + 147000x4 + (10 * 250x4 + 100x2 * 250x4) + 490x6 * (10 + 100x2) + 100x8 * (10 + 100x2)) = 0 (-1500 + -15000x2 + 14700x2 + 147000x4 + (2500x4 + 25000x6) + 490x6 * (10 + 100x2) + 100x8 * (10 + 100x2)) = 0 (-1500 + -15000x2 + 14700x2 + 147000x4 + 2500x4 + 25000x6 + (10 * 490x6 + 100x2 * 490x6) + 100x8 * (10 + 100x2)) = 0 (-1500 + -15000x2 + 14700x2 + 147000x4 + 2500x4 + 25000x6 + (4900x6 + 49000x8) + 100x8 * (10 + 100x2)) = 0 (-1500 + -15000x2 + 14700x2 + 147000x4 + 2500x4 + 25000x6 + 4900x6 + 49000x8 + (10 * 100x8 + 100x2 * 100x8)) = 0 (-1500 + -15000x2 + 14700x2 + 147000x4 + 2500x4 + 25000x6 + 4900x6 + 49000x8 + (1000x8 + 10000x10)) = 0 Combine like terms: -15000x2 + 14700x2 = -300x2 (-1500 + -300x2 + 147000x4 + 2500x4 + 25000x6 + 4900x6 + 49000x8 + 1000x8 + 10000x10) = 0 Combine like terms: 147000x4 + 2500x4 = 149500x4 (-1500 + -300x2 + 149500x4 + 25000x6 + 4900x6 + 49000x8 + 1000x8 + 10000x10) = 0 Combine like terms: 25000x6 + 4900x6 = 29900x6 (-1500 + -300x2 + 149500x4 + 29900x6 + 49000x8 + 1000x8 + 10000x10) = 0 Combine like terms: 49000x8 + 1000x8 = 50000x8 (-1500 + -300x2 + 149500x4 + 29900x6 + 50000x8 + 10000x10) = 0 Solving -1500 + -300x2 + 149500x4 + 29900x6 + 50000x8 + 10000x10 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '100'. 100(-15 + -3x2 + 1495x4 + 299x6 + 500x8 + 100x10) = 0 Ignore the factor 100.Subproblem 1
Set the factor '(-15 + -3x2 + 1495x4 + 299x6 + 500x8 + 100x10)' equal to zero and attempt to solve: Simplifying -15 + -3x2 + 1495x4 + 299x6 + 500x8 + 100x10 = 0 Solving -15 + -3x2 + 1495x4 + 299x6 + 500x8 + 100x10 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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