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Simplifying (2x + 5)(6x2 + 6x + 4) = 0 Reorder the terms: (5 + 2x)(6x2 + 6x + 4) = 0 Reorder the terms: (5 + 2x)(4 + 6x + 6x2) = 0 Multiply (5 + 2x) * (4 + 6x + 6x2) (5(4 + 6x + 6x2) + 2x * (4 + 6x + 6x2)) = 0 ((4 * 5 + 6x * 5 + 6x2 * 5) + 2x * (4 + 6x + 6x2)) = 0 ((20 + 30x + 30x2) + 2x * (4 + 6x + 6x2)) = 0 (20 + 30x + 30x2 + (4 * 2x + 6x * 2x + 6x2 * 2x)) = 0 (20 + 30x + 30x2 + (8x + 12x2 + 12x3)) = 0 Reorder the terms: (20 + 30x + 8x + 30x2 + 12x2 + 12x3) = 0 Combine like terms: 30x + 8x = 38x (20 + 38x + 30x2 + 12x2 + 12x3) = 0 Combine like terms: 30x2 + 12x2 = 42x2 (20 + 38x + 42x2 + 12x3) = 0 Solving 20 + 38x + 42x2 + 12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(10 + 19x + 21x2 + 6x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + 19x + 21x2 + 6x3)' equal to zero and attempt to solve: Simplifying 10 + 19x + 21x2 + 6x3 = 0 Solving 10 + 19x + 21x2 + 6x3 = 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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