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Simplifying (3x2 + 3x + 5)(6x + 4) = 0 Reorder the terms: (5 + 3x + 3x2)(6x + 4) = 0 Reorder the terms: (5 + 3x + 3x2)(4 + 6x) = 0 Multiply (5 + 3x + 3x2) * (4 + 6x) (5(4 + 6x) + 3x * (4 + 6x) + 3x2 * (4 + 6x)) = 0 ((4 * 5 + 6x * 5) + 3x * (4 + 6x) + 3x2 * (4 + 6x)) = 0 ((20 + 30x) + 3x * (4 + 6x) + 3x2 * (4 + 6x)) = 0 (20 + 30x + (4 * 3x + 6x * 3x) + 3x2 * (4 + 6x)) = 0 (20 + 30x + (12x + 18x2) + 3x2 * (4 + 6x)) = 0 (20 + 30x + 12x + 18x2 + (4 * 3x2 + 6x * 3x2)) = 0 (20 + 30x + 12x + 18x2 + (12x2 + 18x3)) = 0 Combine like terms: 30x + 12x = 42x (20 + 42x + 18x2 + 12x2 + 18x3) = 0 Combine like terms: 18x2 + 12x2 = 30x2 (20 + 42x + 30x2 + 18x3) = 0 Solving 20 + 42x + 30x2 + 18x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(10 + 21x + 15x2 + 9x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + 21x + 15x2 + 9x3)' equal to zero and attempt to solve: Simplifying 10 + 21x + 15x2 + 9x3 = 0 Solving 10 + 21x + 15x2 + 9x3 = 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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