x^5-12x^4+12x^3-12x^2+12x-1whenx=11

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Solution for x^5-12x^4+12x^3-12x^2+12x-1whenx=11 equation:


Simplifying
x5 + -12x4 + 12x3 + -12x2 + 12x + -1whenx = 11

Reorder the terms:
-1ehnwx + 12x + -12x2 + 12x3 + -12x4 + x5 = 11

Solving
-1ehnwx + 12x + -12x2 + 12x3 + -12x4 + x5 = 11

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-12x' to each side of the equation.
-1ehnwx + 12x + -12x2 + 12x3 + -12x4 + -12x + x5 = 11 + -12x

Reorder the terms:
-1ehnwx + 12x + -12x + -12x2 + 12x3 + -12x4 + x5 = 11 + -12x

Combine like terms: 12x + -12x = 0
-1ehnwx + 0 + -12x2 + 12x3 + -12x4 + x5 = 11 + -12x
-1ehnwx + -12x2 + 12x3 + -12x4 + x5 = 11 + -12x

Add '12x2' to each side of the equation.
-1ehnwx + -12x2 + 12x3 + -12x4 + 12x2 + x5 = 11 + -12x + 12x2

Reorder the terms:
-1ehnwx + -12x2 + 12x2 + 12x3 + -12x4 + x5 = 11 + -12x + 12x2

Combine like terms: -12x2 + 12x2 = 0
-1ehnwx + 0 + 12x3 + -12x4 + x5 = 11 + -12x + 12x2
-1ehnwx + 12x3 + -12x4 + x5 = 11 + -12x + 12x2

Add '-12x3' to each side of the equation.
-1ehnwx + 12x3 + -12x4 + -12x3 + x5 = 11 + -12x + 12x2 + -12x3

Reorder the terms:
-1ehnwx + 12x3 + -12x3 + -12x4 + x5 = 11 + -12x + 12x2 + -12x3

Combine like terms: 12x3 + -12x3 = 0
-1ehnwx + 0 + -12x4 + x5 = 11 + -12x + 12x2 + -12x3
-1ehnwx + -12x4 + x5 = 11 + -12x + 12x2 + -12x3

Add '12x4' to each side of the equation.
-1ehnwx + -12x4 + 12x4 + x5 = 11 + -12x + 12x2 + -12x3 + 12x4

Combine like terms: -12x4 + 12x4 = 0
-1ehnwx + 0 + x5 = 11 + -12x + 12x2 + -12x3 + 12x4
-1ehnwx + x5 = 11 + -12x + 12x2 + -12x3 + 12x4

Add '-1x5' to each side of the equation.
-1ehnwx + x5 + -1x5 = 11 + -12x + 12x2 + -12x3 + 12x4 + -1x5

Combine like terms: x5 + -1x5 = 0
-1ehnwx + 0 = 11 + -12x + 12x2 + -12x3 + 12x4 + -1x5
-1ehnwx = 11 + -12x + 12x2 + -12x3 + 12x4 + -1x5

Divide each side by '-1hnwx'.
e = -11h-1n-1w-1x-1 + 12h-1n-1w-1 + -12h-1n-1w-1x + 12h-1n-1w-1x2 + -12h-1n-1w-1x3 + h-1n-1w-1x4

Simplifying
e = -11h-1n-1w-1x-1 + 12h-1n-1w-1 + -12h-1n-1w-1x + 12h-1n-1w-1x2 + -12h-1n-1w-1x3 + h-1n-1w-1x4

Reorder the terms:
e = 12h-1n-1w-1 + -11h-1n-1w-1x-1 + -12h-1n-1w-1x + 12h-1n-1w-1x2 + -12h-1n-1w-1x3 + h-1n-1w-1x4

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