0=x^4+10x^3+26x^2+10x+25

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Solution for 0=x^4+10x^3+26x^2+10x+25 equation: 


Simplifying
0 = x4 + 10x3 + 26x2 + 10x + 25

Reorder the terms:
0 = 25 + 10x + 26x2 + 10x3 + x4

Solving
0 = 25 + 10x + 26x2 + 10x3 + x4

Solving for variable 'x'.

Combine like terms: 0 + -25 = -25
-25 + -10x + -26x2 + -10x3 + -1x4 = 25 + 10x + 26x2 + 10x3 + x4 + -25 + -10x + -26x2 + -10x3 + -1x4

Reorder the terms:
-25 + -10x + -26x2 + -10x3 + -1x4 = 25 + -25 + 10x + -10x + 26x2 + -26x2 + 10x3 + -10x3 + x4 + -1x4

Combine like terms: 25 + -25 = 0
-25 + -10x + -26x2 + -10x3 + -1x4 = 0 + 10x + -10x + 26x2 + -26x2 + 10x3 + -10x3 + x4 + -1x4
-25 + -10x + -26x2 + -10x3 + -1x4 = 10x + -10x + 26x2 + -26x2 + 10x3 + -10x3 + x4 + -1x4

Combine like terms: 10x + -10x = 0
-25 + -10x + -26x2 + -10x3 + -1x4 = 0 + 26x2 + -26x2 + 10x3 + -10x3 + x4 + -1x4
-25 + -10x + -26x2 + -10x3 + -1x4 = 26x2 + -26x2 + 10x3 + -10x3 + x4 + -1x4

Combine like terms: 26x2 + -26x2 = 0
-25 + -10x + -26x2 + -10x3 + -1x4 = 0 + 10x3 + -10x3 + x4 + -1x4
-25 + -10x + -26x2 + -10x3 + -1x4 = 10x3 + -10x3 + x4 + -1x4

Combine like terms: 10x3 + -10x3 = 0
-25 + -10x + -26x2 + -10x3 + -1x4 = 0 + x4 + -1x4
-25 + -10x + -26x2 + -10x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-25 + -10x + -26x2 + -10x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(25 + 10x + 26x2 + 10x3 + x4) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(25 + 10x + 26x2 + 10x3 + x4)' equal to zero and attempt to solve:

Simplifying
25 + 10x + 26x2 + 10x3 + x4 = 0

Solving
25 + 10x + 26x2 + 10x3 + x4 = 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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