x^6+x^5-x^4-13x^3+8x^2+12X=0

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Solution for x^6+x^5-x^4-13x^3+8x^2+12X=0 equation: 


Simplifying
x6 + x5 + -1x4 + -13x3 + 8x2 + 12X = 0

Reorder the terms:
12X + 8x2 + -13x3 + -1x4 + x5 + x6 = 0

Solving
12X + 8x2 + -13x3 + -1x4 + x5 + x6 = 0

Solving for variable 'X'.

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

Add '-8x2' to each side of the equation.
12X + 8x2 + -13x3 + -1x4 + x5 + -8x2 + x6 = 0 + -8x2

Reorder the terms:
12X + 8x2 + -8x2 + -13x3 + -1x4 + x5 + x6 = 0 + -8x2

Combine like terms: 8x2 + -8x2 = 0
12X + 0 + -13x3 + -1x4 + x5 + x6 = 0 + -8x2
12X + -13x3 + -1x4 + x5 + x6 = 0 + -8x2
Remove the zero:
12X + -13x3 + -1x4 + x5 + x6 = -8x2

Add '13x3' to each side of the equation.
12X + -13x3 + -1x4 + x5 + 13x3 + x6 = -8x2 + 13x3

Reorder the terms:
12X + -13x3 + 13x3 + -1x4 + x5 + x6 = -8x2 + 13x3

Combine like terms: -13x3 + 13x3 = 0
12X + 0 + -1x4 + x5 + x6 = -8x2 + 13x3
12X + -1x4 + x5 + x6 = -8x2 + 13x3

Add 'x4' to each side of the equation.
12X + -1x4 + x5 + x4 + x6 = -8x2 + 13x3 + x4

Reorder the terms:
12X + -1x4 + x4 + x5 + x6 = -8x2 + 13x3 + x4

Combine like terms: -1x4 + x4 = 0
12X + 0 + x5 + x6 = -8x2 + 13x3 + x4
12X + x5 + x6 = -8x2 + 13x3 + x4

Add '-1x5' to each side of the equation.
12X + x5 + -1x5 + x6 = -8x2 + 13x3 + x4 + -1x5

Combine like terms: x5 + -1x5 = 0
12X + 0 + x6 = -8x2 + 13x3 + x4 + -1x5
12X + x6 = -8x2 + 13x3 + x4 + -1x5

Add '-1x6' to each side of the equation.
12X + x6 + -1x6 = -8x2 + 13x3 + x4 + -1x5 + -1x6

Combine like terms: x6 + -1x6 = 0
12X + 0 = -8x2 + 13x3 + x4 + -1x5 + -1x6
12X = -8x2 + 13x3 + x4 + -1x5 + -1x6

Divide each side by '12'.
X = -0.6666666667x2 + 1.083333333x3 + 0.08333333333x4 + -0.08333333333x5 + -0.08333333333x6

Simplifying
X = -0.6666666667x2 + 1.083333333x3 + 0.08333333333x4 + -0.08333333333x5 + -0.08333333333x6

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