6x^4-7x^3-45X^2-47x-21=0

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Solution for 6x^4-7x^3-45X^2-47x-21=0 equation:


Simplifying
6x4 + -7x3 + -45X2 + -47x + -21 = 0

Reorder the terms:
-21 + -45X2 + -47x + -7x3 + 6x4 = 0

Solving
-21 + -45X2 + -47x + -7x3 + 6x4 = 0

Solving for variable 'X'.

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

Add '21' to each side of the equation.
-21 + -45X2 + -47x + -7x3 + 21 + 6x4 = 0 + 21

Reorder the terms:
-21 + 21 + -45X2 + -47x + -7x3 + 6x4 = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -45X2 + -47x + -7x3 + 6x4 = 0 + 21
-45X2 + -47x + -7x3 + 6x4 = 0 + 21

Combine like terms: 0 + 21 = 21
-45X2 + -47x + -7x3 + 6x4 = 21

Add '47x' to each side of the equation.
-45X2 + -47x + -7x3 + 47x + 6x4 = 21 + 47x

Reorder the terms:
-45X2 + -47x + 47x + -7x3 + 6x4 = 21 + 47x

Combine like terms: -47x + 47x = 0
-45X2 + 0 + -7x3 + 6x4 = 21 + 47x
-45X2 + -7x3 + 6x4 = 21 + 47x

Add '7x3' to each side of the equation.
-45X2 + -7x3 + 7x3 + 6x4 = 21 + 47x + 7x3

Combine like terms: -7x3 + 7x3 = 0
-45X2 + 0 + 6x4 = 21 + 47x + 7x3
-45X2 + 6x4 = 21 + 47x + 7x3

Add '-6x4' to each side of the equation.
-45X2 + 6x4 + -6x4 = 21 + 47x + 7x3 + -6x4

Combine like terms: 6x4 + -6x4 = 0
-45X2 + 0 = 21 + 47x + 7x3 + -6x4
-45X2 = 21 + 47x + 7x3 + -6x4

Divide each side by '-45'.
X2 = -0.4666666667 + -1.044444444x + -0.1555555556x3 + 0.1333333333x4

Simplifying
X2 = -0.4666666667 + -1.044444444x + -0.1555555556x3 + 0.1333333333x4

Reorder the terms:
0.4666666667 + X2 + 1.044444444x + 0.1555555556x3 + -0.1333333333x4 = -0.4666666667 + -1.044444444x + -0.1555555556x3 + 0.1333333333x4 + 0.4666666667 + 1.044444444x + 0.1555555556x3 + -0.1333333333x4

Reorder the terms:
0.4666666667 + X2 + 1.044444444x + 0.1555555556x3 + -0.1333333333x4 = -0.4666666667 + 0.4666666667 + -1.044444444x + 1.044444444x + -0.1555555556x3 + 0.1555555556x3 + 0.1333333333x4 + -0.1333333333x4

Combine like terms: -0.4666666667 + 0.4666666667 = 0.0000000000
0.4666666667 + X2 + 1.044444444x + 0.1555555556x3 + -0.1333333333x4 = 0.0000000000 + -1.044444444x + 1.044444444x + -0.1555555556x3 + 0.1555555556x3 + 0.1333333333x4 + -0.1333333333x4
0.4666666667 + X2 + 1.044444444x + 0.1555555556x3 + -0.1333333333x4 = -1.044444444x + 1.044444444x + -0.1555555556x3 + 0.1555555556x3 + 0.1333333333x4 + -0.1333333333x4

Combine like terms: -1.044444444x + 1.044444444x = 0.000000000
0.4666666667 + X2 + 1.044444444x + 0.1555555556x3 + -0.1333333333x4 = 0.000000000 + -0.1555555556x3 + 0.1555555556x3 + 0.1333333333x4 + -0.1333333333x4
0.4666666667 + X2 + 1.044444444x + 0.1555555556x3 + -0.1333333333x4 = -0.1555555556x3 + 0.1555555556x3 + 0.1333333333x4 + -0.1333333333x4

Combine like terms: -0.1555555556x3 + 0.1555555556x3 = 0.0000000000
0.4666666667 + X2 + 1.044444444x + 0.1555555556x3 + -0.1333333333x4 = 0.0000000000 + 0.1333333333x4 + -0.1333333333x4
0.4666666667 + X2 + 1.044444444x + 0.1555555556x3 + -0.1333333333x4 = 0.1333333333x4 + -0.1333333333x4

Combine like terms: 0.1333333333x4 + -0.1333333333x4 = 0.0000000000
0.4666666667 + X2 + 1.044444444x + 0.1555555556x3 + -0.1333333333x4 = 0.0000000000

The solution to this equation could not be determined.

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