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Simplifying x(x + 3)(2x2 + 9x + 1) = 0 Reorder the terms: x(3 + x)(2x2 + 9x + 1) = 0 Reorder the terms: x(3 + x)(1 + 9x + 2x2) = 0 Multiply (3 + x) * (1 + 9x + 2x2) x(3(1 + 9x + 2x2) + x(1 + 9x + 2x2)) = 0 x((1 * 3 + 9x * 3 + 2x2 * 3) + x(1 + 9x + 2x2)) = 0 x((3 + 27x + 6x2) + x(1 + 9x + 2x2)) = 0 x(3 + 27x + 6x2 + (1 * x + 9x * x + 2x2 * x)) = 0 x(3 + 27x + 6x2 + (1x + 9x2 + 2x3)) = 0 Reorder the terms: x(3 + 27x + 1x + 6x2 + 9x2 + 2x3) = 0 Combine like terms: 27x + 1x = 28x x(3 + 28x + 6x2 + 9x2 + 2x3) = 0 Combine like terms: 6x2 + 9x2 = 15x2 x(3 + 28x + 15x2 + 2x3) = 0 (3 * x + 28x * x + 15x2 * x + 2x3 * x) = 0 (3x + 28x2 + 15x3 + 2x4) = 0 Solving 3x + 28x2 + 15x3 + 2x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3 + 28x + 15x2 + 2x3) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(3 + 28x + 15x2 + 2x3)' equal to zero and attempt to solve: Simplifying 3 + 28x + 15x2 + 2x3 = 0 Solving 3 + 28x + 15x2 + 2x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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