0=x^5-5x^4+12x^3-15x^2+x+10

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Solution for 0=x^5-5x^4+12x^3-15x^2+x+10 equation: 


Simplifying
0 = x5 + -5x4 + 12x3 + -15x2 + x + 10

Reorder the terms:
0 = 10 + x + -15x2 + 12x3 + -5x4 + x5

Solving
0 = 10 + x + -15x2 + 12x3 + -5x4 + x5

Solving for variable 'x'.

Combine like terms: 0 + -10 = -10
-10 + -1x + 15x2 + -12x3 + 5x4 + -1x5 = 10 + x + -15x2 + 12x3 + -5x4 + x5 + -10 + -1x + 15x2 + -12x3 + 5x4 + -1x5

Reorder the terms:
-10 + -1x + 15x2 + -12x3 + 5x4 + -1x5 = 10 + -10 + x + -1x + -15x2 + 15x2 + 12x3 + -12x3 + -5x4 + 5x4 + x5 + -1x5

Combine like terms: 10 + -10 = 0
-10 + -1x + 15x2 + -12x3 + 5x4 + -1x5 = 0 + x + -1x + -15x2 + 15x2 + 12x3 + -12x3 + -5x4 + 5x4 + x5 + -1x5
-10 + -1x + 15x2 + -12x3 + 5x4 + -1x5 = x + -1x + -15x2 + 15x2 + 12x3 + -12x3 + -5x4 + 5x4 + x5 + -1x5

Combine like terms: x + -1x = 0
-10 + -1x + 15x2 + -12x3 + 5x4 + -1x5 = 0 + -15x2 + 15x2 + 12x3 + -12x3 + -5x4 + 5x4 + x5 + -1x5
-10 + -1x + 15x2 + -12x3 + 5x4 + -1x5 = -15x2 + 15x2 + 12x3 + -12x3 + -5x4 + 5x4 + x5 + -1x5

Combine like terms: -15x2 + 15x2 = 0
-10 + -1x + 15x2 + -12x3 + 5x4 + -1x5 = 0 + 12x3 + -12x3 + -5x4 + 5x4 + x5 + -1x5
-10 + -1x + 15x2 + -12x3 + 5x4 + -1x5 = 12x3 + -12x3 + -5x4 + 5x4 + x5 + -1x5

Combine like terms: 12x3 + -12x3 = 0
-10 + -1x + 15x2 + -12x3 + 5x4 + -1x5 = 0 + -5x4 + 5x4 + x5 + -1x5
-10 + -1x + 15x2 + -12x3 + 5x4 + -1x5 = -5x4 + 5x4 + x5 + -1x5

Combine like terms: -5x4 + 5x4 = 0
-10 + -1x + 15x2 + -12x3 + 5x4 + -1x5 = 0 + x5 + -1x5
-10 + -1x + 15x2 + -12x3 + 5x4 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
-10 + -1x + 15x2 + -12x3 + 5x4 + -1x5 = 0

The solution to this equation could not be determined.

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