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Simplifying 2x(x4 + 1) + 4x2(x3 + 1) = 0 Reorder the terms: 2x(1 + x4) + 4x2(x3 + 1) = 0 (1 * 2x + x4 * 2x) + 4x2(x3 + 1) = 0 (2x + 2x5) + 4x2(x3 + 1) = 0 Reorder the terms: 2x + 2x5 + 4x2(1 + x3) = 0 2x + 2x5 + (1 * 4x2 + x3 * 4x2) = 0 2x + 2x5 + (4x2 + 4x5) = 0 Reorder the terms: 2x + 4x2 + 2x5 + 4x5 = 0 Combine like terms: 2x5 + 4x5 = 6x5 2x + 4x2 + 6x5 = 0 Solving 2x + 4x2 + 6x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(1 + 2x + 3x4) = 0 Ignore the factor 2.Subproblem 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 '(1 + 2x + 3x4)' equal to zero and attempt to solve: Simplifying 1 + 2x + 3x4 = 0 Solving 1 + 2x + 3x4 = 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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