R(x)=x^5-3x^4-5x^3+27x^2-32x+12

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Solution for R(x)=x^5-3x^4-5x^3+27x^2-32x+12 equation: 


Simplifying
R(x) = x5 + -3x4 + -5x3 + 27x2 + -32x + 12

Multiply R * x
xR = x5 + -3x4 + -5x3 + 27x2 + -32x + 12

Reorder the terms:
xR = 12 + -32x + 27x2 + -5x3 + -3x4 + x5

Solving
xR = 12 + -32x + 27x2 + -5x3 + -3x4 + x5

Solving for variable 'x'.

Reorder the terms:
-12 + 32x + xR + -27x2 + 5x3 + 3x4 + -1x5 = 12 + -32x + 27x2 + -5x3 + -3x4 + x5 + -12 + 32x + -27x2 + 5x3 + 3x4 + -1x5

Reorder the terms:
-12 + 32x + xR + -27x2 + 5x3 + 3x4 + -1x5 = 12 + -12 + -32x + 32x + 27x2 + -27x2 + -5x3 + 5x3 + -3x4 + 3x4 + x5 + -1x5

Combine like terms: 12 + -12 = 0
-12 + 32x + xR + -27x2 + 5x3 + 3x4 + -1x5 = 0 + -32x + 32x + 27x2 + -27x2 + -5x3 + 5x3 + -3x4 + 3x4 + x5 + -1x5
-12 + 32x + xR + -27x2 + 5x3 + 3x4 + -1x5 = -32x + 32x + 27x2 + -27x2 + -5x3 + 5x3 + -3x4 + 3x4 + x5 + -1x5

Combine like terms: -32x + 32x = 0
-12 + 32x + xR + -27x2 + 5x3 + 3x4 + -1x5 = 0 + 27x2 + -27x2 + -5x3 + 5x3 + -3x4 + 3x4 + x5 + -1x5
-12 + 32x + xR + -27x2 + 5x3 + 3x4 + -1x5 = 27x2 + -27x2 + -5x3 + 5x3 + -3x4 + 3x4 + x5 + -1x5

Combine like terms: 27x2 + -27x2 = 0
-12 + 32x + xR + -27x2 + 5x3 + 3x4 + -1x5 = 0 + -5x3 + 5x3 + -3x4 + 3x4 + x5 + -1x5
-12 + 32x + xR + -27x2 + 5x3 + 3x4 + -1x5 = -5x3 + 5x3 + -3x4 + 3x4 + x5 + -1x5

Combine like terms: -5x3 + 5x3 = 0
-12 + 32x + xR + -27x2 + 5x3 + 3x4 + -1x5 = 0 + -3x4 + 3x4 + x5 + -1x5
-12 + 32x + xR + -27x2 + 5x3 + 3x4 + -1x5 = -3x4 + 3x4 + x5 + -1x5

Combine like terms: -3x4 + 3x4 = 0
-12 + 32x + xR + -27x2 + 5x3 + 3x4 + -1x5 = 0 + x5 + -1x5
-12 + 32x + xR + -27x2 + 5x3 + 3x4 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
-12 + 32x + xR + -27x2 + 5x3 + 3x4 + -1x5 = 0

The solution to this equation could not be determined.

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