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Simplifying 0 = 3x4 + 9x3 + x2 + 3x Reorder the terms: 0 = 3x + x2 + 9x3 + 3x4 Solving 0 = 3x + x2 + 9x3 + 3x4 Solving for variable 'x'. Remove the zero: -3x + -1x2 + -9x3 + -3x4 = 3x + x2 + 9x3 + 3x4 + -3x + -1x2 + -9x3 + -3x4 Reorder the terms: -3x + -1x2 + -9x3 + -3x4 = 3x + -3x + x2 + -1x2 + 9x3 + -9x3 + 3x4 + -3x4 Combine like terms: 3x + -3x = 0 -3x + -1x2 + -9x3 + -3x4 = 0 + x2 + -1x2 + 9x3 + -9x3 + 3x4 + -3x4 -3x + -1x2 + -9x3 + -3x4 = x2 + -1x2 + 9x3 + -9x3 + 3x4 + -3x4 Combine like terms: x2 + -1x2 = 0 -3x + -1x2 + -9x3 + -3x4 = 0 + 9x3 + -9x3 + 3x4 + -3x4 -3x + -1x2 + -9x3 + -3x4 = 9x3 + -9x3 + 3x4 + -3x4 Combine like terms: 9x3 + -9x3 = 0 -3x + -1x2 + -9x3 + -3x4 = 0 + 3x4 + -3x4 -3x + -1x2 + -9x3 + -3x4 = 3x4 + -3x4 Combine like terms: 3x4 + -3x4 = 0 -3x + -1x2 + -9x3 + -3x4 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(3 + x + 9x2 + 3x3) = 0 Ignore the factor -1.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 '(3 + x + 9x2 + 3x3)' equal to zero and attempt to solve: Simplifying 3 + x + 9x2 + 3x3 = 0 Solving 3 + x + 9x2 + 3x3 = 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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