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Simplifying (20x + 3)(15x + 2)(5x + 11)(10x + -6) = 0 Reorder the terms: (3 + 20x)(15x + 2)(5x + 11)(10x + -6) = 0 Reorder the terms: (3 + 20x)(2 + 15x)(5x + 11)(10x + -6) = 0 Reorder the terms: (3 + 20x)(2 + 15x)(11 + 5x)(10x + -6) = 0 Reorder the terms: (3 + 20x)(2 + 15x)(11 + 5x)(-6 + 10x) = 0 Multiply (3 + 20x) * (2 + 15x) (3(2 + 15x) + 20x * (2 + 15x))(11 + 5x)(-6 + 10x) = 0 ((2 * 3 + 15x * 3) + 20x * (2 + 15x))(11 + 5x)(-6 + 10x) = 0 ((6 + 45x) + 20x * (2 + 15x))(11 + 5x)(-6 + 10x) = 0 (6 + 45x + (2 * 20x + 15x * 20x))(11 + 5x)(-6 + 10x) = 0 (6 + 45x + (40x + 300x2))(11 + 5x)(-6 + 10x) = 0 Combine like terms: 45x + 40x = 85x (6 + 85x + 300x2)(11 + 5x)(-6 + 10x) = 0 Multiply (6 + 85x + 300x2) * (11 + 5x) (6(11 + 5x) + 85x * (11 + 5x) + 300x2 * (11 + 5x))(-6 + 10x) = 0 ((11 * 6 + 5x * 6) + 85x * (11 + 5x) + 300x2 * (11 + 5x))(-6 + 10x) = 0 ((66 + 30x) + 85x * (11 + 5x) + 300x2 * (11 + 5x))(-6 + 10x) = 0 (66 + 30x + (11 * 85x + 5x * 85x) + 300x2 * (11 + 5x))(-6 + 10x) = 0 (66 + 30x + (935x + 425x2) + 300x2 * (11 + 5x))(-6 + 10x) = 0 (66 + 30x + 935x + 425x2 + (11 * 300x2 + 5x * 300x2))(-6 + 10x) = 0 (66 + 30x + 935x + 425x2 + (3300x2 + 1500x3))(-6 + 10x) = 0 Combine like terms: 30x + 935x = 965x (66 + 965x + 425x2 + 3300x2 + 1500x3)(-6 + 10x) = 0 Combine like terms: 425x2 + 3300x2 = 3725x2 (66 + 965x + 3725x2 + 1500x3)(-6 + 10x) = 0 Multiply (66 + 965x + 3725x2 + 1500x3) * (-6 + 10x) (66(-6 + 10x) + 965x * (-6 + 10x) + 3725x2 * (-6 + 10x) + 1500x3 * (-6 + 10x)) = 0 ((-6 * 66 + 10x * 66) + 965x * (-6 + 10x) + 3725x2 * (-6 + 10x) + 1500x3 * (-6 + 10x)) = 0 ((-396 + 660x) + 965x * (-6 + 10x) + 3725x2 * (-6 + 10x) + 1500x3 * (-6 + 10x)) = 0 (-396 + 660x + (-6 * 965x + 10x * 965x) + 3725x2 * (-6 + 10x) + 1500x3 * (-6 + 10x)) = 0 (-396 + 660x + (-5790x + 9650x2) + 3725x2 * (-6 + 10x) + 1500x3 * (-6 + 10x)) = 0 (-396 + 660x + -5790x + 9650x2 + (-6 * 3725x2 + 10x * 3725x2) + 1500x3 * (-6 + 10x)) = 0 (-396 + 660x + -5790x + 9650x2 + (-22350x2 + 37250x3) + 1500x3 * (-6 + 10x)) = 0 (-396 + 660x + -5790x + 9650x2 + -22350x2 + 37250x3 + (-6 * 1500x3 + 10x * 1500x3)) = 0 (-396 + 660x + -5790x + 9650x2 + -22350x2 + 37250x3 + (-9000x3 + 15000x4)) = 0 Combine like terms: 660x + -5790x = -5130x (-396 + -5130x + 9650x2 + -22350x2 + 37250x3 + -9000x3 + 15000x4) = 0 Combine like terms: 9650x2 + -22350x2 = -12700x2 (-396 + -5130x + -12700x2 + 37250x3 + -9000x3 + 15000x4) = 0 Combine like terms: 37250x3 + -9000x3 = 28250x3 (-396 + -5130x + -12700x2 + 28250x3 + 15000x4) = 0 Solving -396 + -5130x + -12700x2 + 28250x3 + 15000x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-198 + -2565x + -6350x2 + 14125x3 + 7500x4) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-198 + -2565x + -6350x2 + 14125x3 + 7500x4)' equal to zero and attempt to solve: Simplifying -198 + -2565x + -6350x2 + 14125x3 + 7500x4 = 0 Solving -198 + -2565x + -6350x2 + 14125x3 + 7500x4 = 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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