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Simplifying (4x)(5x + 1)(5x + 3) = 102 Remove parenthesis around (4x) 4x(5x + 1)(5x + 3) = 102 Reorder the terms: 4x(1 + 5x)(5x + 3) = 102 Reorder the terms: 4x(1 + 5x)(3 + 5x) = 102 Multiply (1 + 5x) * (3 + 5x) 4x(1(3 + 5x) + 5x * (3 + 5x)) = 102 4x((3 * 1 + 5x * 1) + 5x * (3 + 5x)) = 102 4x((3 + 5x) + 5x * (3 + 5x)) = 102 4x(3 + 5x + (3 * 5x + 5x * 5x)) = 102 4x(3 + 5x + (15x + 25x2)) = 102 Combine like terms: 5x + 15x = 20x 4x(3 + 20x + 25x2) = 102 (3 * 4x + 20x * 4x + 25x2 * 4x) = 102 (12x + 80x2 + 100x3) = 102 Solving 12x + 80x2 + 100x3 = 102 Solving for variable 'x'. Reorder the terms: -102 + 12x + 80x2 + 100x3 = 102 + -102 Combine like terms: 102 + -102 = 0 -102 + 12x + 80x2 + 100x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-51 + 6x + 40x2 + 50x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-51 + 6x + 40x2 + 50x3)' equal to zero and attempt to solve: Simplifying -51 + 6x + 40x2 + 50x3 = 0 Solving -51 + 6x + 40x2 + 50x3 = 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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