0=2*x^4-14*x^3+18*x^2+14*x-20

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Solution for 0=2*x^4-14*x^3+18*x^2+14*x-20 equation: 


Simplifying
0 = 2x4 + -14x3 + 18x2 + 14x + -20

Reorder the terms:
0 = -20 + 14x + 18x2 + -14x3 + 2x4

Solving
0 = -20 + 14x + 18x2 + -14x3 + 2x4

Solving for variable 'x'.

Combine like terms: 0 + 20 = 20
20 + -14x + -18x2 + 14x3 + -2x4 = -20 + 14x + 18x2 + -14x3 + 2x4 + 20 + -14x + -18x2 + 14x3 + -2x4

Reorder the terms:
20 + -14x + -18x2 + 14x3 + -2x4 = -20 + 20 + 14x + -14x + 18x2 + -18x2 + -14x3 + 14x3 + 2x4 + -2x4

Combine like terms: -20 + 20 = 0
20 + -14x + -18x2 + 14x3 + -2x4 = 0 + 14x + -14x + 18x2 + -18x2 + -14x3 + 14x3 + 2x4 + -2x4
20 + -14x + -18x2 + 14x3 + -2x4 = 14x + -14x + 18x2 + -18x2 + -14x3 + 14x3 + 2x4 + -2x4

Combine like terms: 14x + -14x = 0
20 + -14x + -18x2 + 14x3 + -2x4 = 0 + 18x2 + -18x2 + -14x3 + 14x3 + 2x4 + -2x4
20 + -14x + -18x2 + 14x3 + -2x4 = 18x2 + -18x2 + -14x3 + 14x3 + 2x4 + -2x4

Combine like terms: 18x2 + -18x2 = 0
20 + -14x + -18x2 + 14x3 + -2x4 = 0 + -14x3 + 14x3 + 2x4 + -2x4
20 + -14x + -18x2 + 14x3 + -2x4 = -14x3 + 14x3 + 2x4 + -2x4

Combine like terms: -14x3 + 14x3 = 0
20 + -14x + -18x2 + 14x3 + -2x4 = 0 + 2x4 + -2x4
20 + -14x + -18x2 + 14x3 + -2x4 = 2x4 + -2x4

Combine like terms: 2x4 + -2x4 = 0
20 + -14x + -18x2 + 14x3 + -2x4 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -7x + -9x2 + 7x3 + -1x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(10 + -7x + -9x2 + 7x3 + -1x4)' equal to zero and attempt to solve:

Simplifying
10 + -7x + -9x2 + 7x3 + -1x4 = 0

Solving
10 + -7x + -9x2 + 7x3 + -1x4 = 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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