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Simplifying x(x2 + 6x + 3)(x2 + 6x + 3) = 0 Reorder the terms: x(3 + 6x + x2)(x2 + 6x + 3) = 0 Reorder the terms: x(3 + 6x + x2)(3 + 6x + x2) = 0 Multiply (3 + 6x + x2) * (3 + 6x + x2) x(3(3 + 6x + x2) + 6x * (3 + 6x + x2) + x2(3 + 6x + x2)) = 0 x((3 * 3 + 6x * 3 + x2 * 3) + 6x * (3 + 6x + x2) + x2(3 + 6x + x2)) = 0 x((9 + 18x + 3x2) + 6x * (3 + 6x + x2) + x2(3 + 6x + x2)) = 0 x(9 + 18x + 3x2 + (3 * 6x + 6x * 6x + x2 * 6x) + x2(3 + 6x + x2)) = 0 x(9 + 18x + 3x2 + (18x + 36x2 + 6x3) + x2(3 + 6x + x2)) = 0 x(9 + 18x + 3x2 + 18x + 36x2 + 6x3 + (3 * x2 + 6x * x2 + x2 * x2)) = 0 x(9 + 18x + 3x2 + 18x + 36x2 + 6x3 + (3x2 + 6x3 + x4)) = 0 Reorder the terms: x(9 + 18x + 18x + 3x2 + 36x2 + 3x2 + 6x3 + 6x3 + x4) = 0 Combine like terms: 18x + 18x = 36x x(9 + 36x + 3x2 + 36x2 + 3x2 + 6x3 + 6x3 + x4) = 0 Combine like terms: 3x2 + 36x2 = 39x2 x(9 + 36x + 39x2 + 3x2 + 6x3 + 6x3 + x4) = 0 Combine like terms: 39x2 + 3x2 = 42x2 x(9 + 36x + 42x2 + 6x3 + 6x3 + x4) = 0 Combine like terms: 6x3 + 6x3 = 12x3 x(9 + 36x + 42x2 + 12x3 + x4) = 0 (9 * x + 36x * x + 42x2 * x + 12x3 * x + x4 * x) = 0 (9x + 36x2 + 42x3 + 12x4 + x5) = 0 Solving 9x + 36x2 + 42x3 + 12x4 + x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(9 + 36x + 42x2 + 12x3 + x4) = 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 '(9 + 36x + 42x2 + 12x3 + x4)' equal to zero and attempt to solve: Simplifying 9 + 36x + 42x2 + 12x3 + x4 = 0 Solving 9 + 36x + 42x2 + 12x3 + x4 = 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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