x^4-20x^3+70X^2-60x+9=0

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Solution for x^4-20x^3+70X^2-60x+9=0 equation:


Simplifying
x4 + -20x3 + 70X2 + -60x + 9 = 0

Reorder the terms:
9 + 70X2 + -60x + -20x3 + x4 = 0

Solving
9 + 70X2 + -60x + -20x3 + x4 = 0

Solving for variable 'X'.

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

Add '-9' to each side of the equation.
9 + 70X2 + -60x + -20x3 + -9 + x4 = 0 + -9

Reorder the terms:
9 + -9 + 70X2 + -60x + -20x3 + x4 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 70X2 + -60x + -20x3 + x4 = 0 + -9
70X2 + -60x + -20x3 + x4 = 0 + -9

Combine like terms: 0 + -9 = -9
70X2 + -60x + -20x3 + x4 = -9

Add '60x' to each side of the equation.
70X2 + -60x + -20x3 + 60x + x4 = -9 + 60x

Reorder the terms:
70X2 + -60x + 60x + -20x3 + x4 = -9 + 60x

Combine like terms: -60x + 60x = 0
70X2 + 0 + -20x3 + x4 = -9 + 60x
70X2 + -20x3 + x4 = -9 + 60x

Add '20x3' to each side of the equation.
70X2 + -20x3 + 20x3 + x4 = -9 + 60x + 20x3

Combine like terms: -20x3 + 20x3 = 0
70X2 + 0 + x4 = -9 + 60x + 20x3
70X2 + x4 = -9 + 60x + 20x3

Add '-1x4' to each side of the equation.
70X2 + x4 + -1x4 = -9 + 60x + 20x3 + -1x4

Combine like terms: x4 + -1x4 = 0
70X2 + 0 = -9 + 60x + 20x3 + -1x4
70X2 = -9 + 60x + 20x3 + -1x4

Divide each side by '70'.
X2 = -0.1285714286 + 0.8571428571x + 0.2857142857x3 + -0.01428571429x4

Simplifying
X2 = -0.1285714286 + 0.8571428571x + 0.2857142857x3 + -0.01428571429x4

Reorder the terms:
0.1285714286 + X2 + -0.8571428571x + -0.2857142857x3 + 0.01428571429x4 = -0.1285714286 + 0.8571428571x + 0.2857142857x3 + -0.01428571429x4 + 0.1285714286 + -0.8571428571x + -0.2857142857x3 + 0.01428571429x4

Reorder the terms:
0.1285714286 + X2 + -0.8571428571x + -0.2857142857x3 + 0.01428571429x4 = -0.1285714286 + 0.1285714286 + 0.8571428571x + -0.8571428571x + 0.2857142857x3 + -0.2857142857x3 + -0.01428571429x4 + 0.01428571429x4

Combine like terms: -0.1285714286 + 0.1285714286 = 0.0000000000
0.1285714286 + X2 + -0.8571428571x + -0.2857142857x3 + 0.01428571429x4 = 0.0000000000 + 0.8571428571x + -0.8571428571x + 0.2857142857x3 + -0.2857142857x3 + -0.01428571429x4 + 0.01428571429x4
0.1285714286 + X2 + -0.8571428571x + -0.2857142857x3 + 0.01428571429x4 = 0.8571428571x + -0.8571428571x + 0.2857142857x3 + -0.2857142857x3 + -0.01428571429x4 + 0.01428571429x4

Combine like terms: 0.8571428571x + -0.8571428571x = 0.0000000000
0.1285714286 + X2 + -0.8571428571x + -0.2857142857x3 + 0.01428571429x4 = 0.0000000000 + 0.2857142857x3 + -0.2857142857x3 + -0.01428571429x4 + 0.01428571429x4
0.1285714286 + X2 + -0.8571428571x + -0.2857142857x3 + 0.01428571429x4 = 0.2857142857x3 + -0.2857142857x3 + -0.01428571429x4 + 0.01428571429x4

Combine like terms: 0.2857142857x3 + -0.2857142857x3 = 0.0000000000
0.1285714286 + X2 + -0.8571428571x + -0.2857142857x3 + 0.01428571429x4 = 0.0000000000 + -0.01428571429x4 + 0.01428571429x4
0.1285714286 + X2 + -0.8571428571x + -0.2857142857x3 + 0.01428571429x4 = -0.01428571429x4 + 0.01428571429x4

Combine like terms: -0.01428571429x4 + 0.01428571429x4 = 0.00000000000
0.1285714286 + X2 + -0.8571428571x + -0.2857142857x3 + 0.01428571429x4 = 0.00000000000

The solution to this equation could not be determined.

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