P(x)=2x^5+3x^4-2x^3+20x^2-20x+15

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Solution for P(x)=2x^5+3x^4-2x^3+20x^2-20x+15 equation: 


Simplifying
P(x) = 2x5 + 3x4 + -2x3 + 20x2 + -20x + 15

Multiply P * x
xP = 2x5 + 3x4 + -2x3 + 20x2 + -20x + 15

Reorder the terms:
xP = 15 + -20x + 20x2 + -2x3 + 3x4 + 2x5

Solving
xP = 15 + -20x + 20x2 + -2x3 + 3x4 + 2x5

Solving for variable 'x'.

Reorder the terms:
-15 + 20x + xP + -20x2 + 2x3 + -3x4 + -2x5 = 15 + -20x + 20x2 + -2x3 + 3x4 + 2x5 + -15 + 20x + -20x2 + 2x3 + -3x4 + -2x5

Reorder the terms:
-15 + 20x + xP + -20x2 + 2x3 + -3x4 + -2x5 = 15 + -15 + -20x + 20x + 20x2 + -20x2 + -2x3 + 2x3 + 3x4 + -3x4 + 2x5 + -2x5

Combine like terms: 15 + -15 = 0
-15 + 20x + xP + -20x2 + 2x3 + -3x4 + -2x5 = 0 + -20x + 20x + 20x2 + -20x2 + -2x3 + 2x3 + 3x4 + -3x4 + 2x5 + -2x5
-15 + 20x + xP + -20x2 + 2x3 + -3x4 + -2x5 = -20x + 20x + 20x2 + -20x2 + -2x3 + 2x3 + 3x4 + -3x4 + 2x5 + -2x5

Combine like terms: -20x + 20x = 0
-15 + 20x + xP + -20x2 + 2x3 + -3x4 + -2x5 = 0 + 20x2 + -20x2 + -2x3 + 2x3 + 3x4 + -3x4 + 2x5 + -2x5
-15 + 20x + xP + -20x2 + 2x3 + -3x4 + -2x5 = 20x2 + -20x2 + -2x3 + 2x3 + 3x4 + -3x4 + 2x5 + -2x5

Combine like terms: 20x2 + -20x2 = 0
-15 + 20x + xP + -20x2 + 2x3 + -3x4 + -2x5 = 0 + -2x3 + 2x3 + 3x4 + -3x4 + 2x5 + -2x5
-15 + 20x + xP + -20x2 + 2x3 + -3x4 + -2x5 = -2x3 + 2x3 + 3x4 + -3x4 + 2x5 + -2x5

Combine like terms: -2x3 + 2x3 = 0
-15 + 20x + xP + -20x2 + 2x3 + -3x4 + -2x5 = 0 + 3x4 + -3x4 + 2x5 + -2x5
-15 + 20x + xP + -20x2 + 2x3 + -3x4 + -2x5 = 3x4 + -3x4 + 2x5 + -2x5

Combine like terms: 3x4 + -3x4 = 0
-15 + 20x + xP + -20x2 + 2x3 + -3x4 + -2x5 = 0 + 2x5 + -2x5
-15 + 20x + xP + -20x2 + 2x3 + -3x4 + -2x5 = 2x5 + -2x5

Combine like terms: 2x5 + -2x5 = 0
-15 + 20x + xP + -20x2 + 2x3 + -3x4 + -2x5 = 0

The solution to this equation could not be determined.

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