9=2x^3+2x^2+4x+1

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Solution for 9=2x^3+2x^2+4x+1 equation:


Simplifying
9 = 2x3 + 2x2 + 4x + 1

Reorder the terms:
9 = 1 + 4x + 2x2 + 2x3

Solving
9 = 1 + 4x + 2x2 + 2x3

Solving for variable 'x'.

Combine like terms: 9 + -1 = 8
8 + -4x + -2x2 + -2x3 = 1 + 4x + 2x2 + 2x3 + -1 + -4x + -2x2 + -2x3

Reorder the terms:
8 + -4x + -2x2 + -2x3 = 1 + -1 + 4x + -4x + 2x2 + -2x2 + 2x3 + -2x3

Combine like terms: 1 + -1 = 0
8 + -4x + -2x2 + -2x3 = 0 + 4x + -4x + 2x2 + -2x2 + 2x3 + -2x3
8 + -4x + -2x2 + -2x3 = 4x + -4x + 2x2 + -2x2 + 2x3 + -2x3

Combine like terms: 4x + -4x = 0
8 + -4x + -2x2 + -2x3 = 0 + 2x2 + -2x2 + 2x3 + -2x3
8 + -4x + -2x2 + -2x3 = 2x2 + -2x2 + 2x3 + -2x3

Combine like terms: 2x2 + -2x2 = 0
8 + -4x + -2x2 + -2x3 = 0 + 2x3 + -2x3
8 + -4x + -2x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
8 + -4x + -2x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -2x + -1x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(4 + -2x + -1x2 + -1x3)' equal to zero and attempt to solve: Simplifying 4 + -2x + -1x2 + -1x3 = 0 Solving 4 + -2x + -1x2 + -1x3 = 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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