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Simplifying (3x + 15)(x2 + 10x + 21) = 0 Reorder the terms: (15 + 3x)(x2 + 10x + 21) = 0 Reorder the terms: (15 + 3x)(21 + 10x + x2) = 0 Multiply (15 + 3x) * (21 + 10x + x2) (15(21 + 10x + x2) + 3x * (21 + 10x + x2)) = 0 ((21 * 15 + 10x * 15 + x2 * 15) + 3x * (21 + 10x + x2)) = 0 ((315 + 150x + 15x2) + 3x * (21 + 10x + x2)) = 0 (315 + 150x + 15x2 + (21 * 3x + 10x * 3x + x2 * 3x)) = 0 (315 + 150x + 15x2 + (63x + 30x2 + 3x3)) = 0 Reorder the terms: (315 + 150x + 63x + 15x2 + 30x2 + 3x3) = 0 Combine like terms: 150x + 63x = 213x (315 + 213x + 15x2 + 30x2 + 3x3) = 0 Combine like terms: 15x2 + 30x2 = 45x2 (315 + 213x + 45x2 + 3x3) = 0 Solving 315 + 213x + 45x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(105 + 71x + 15x2 + x3) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(105 + 71x + 15x2 + x3)' equal to zero and attempt to solve: Simplifying 105 + 71x + 15x2 + x3 = 0 Solving 105 + 71x + 15x2 + x3 = 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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