x^4-14X^3+19x^2+182x+169=0

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Solution for x^4-14X^3+19x^2+182x+169=0 equation: 


Simplifying
x4 + -14X3 + 19x2 + 182x + 169 = 0

Reorder the terms:
169 + -14X3 + 182x + 19x2 + x4 = 0

Solving
169 + -14X3 + 182x + 19x2 + x4 = 0

Solving for variable 'X'.

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

Add '-169' to each side of the equation.
169 + -14X3 + 182x + 19x2 + -169 + x4 = 0 + -169

Reorder the terms:
169 + -169 + -14X3 + 182x + 19x2 + x4 = 0 + -169

Combine like terms: 169 + -169 = 0
0 + -14X3 + 182x + 19x2 + x4 = 0 + -169
-14X3 + 182x + 19x2 + x4 = 0 + -169

Combine like terms: 0 + -169 = -169
-14X3 + 182x + 19x2 + x4 = -169

Add '-182x' to each side of the equation.
-14X3 + 182x + 19x2 + -182x + x4 = -169 + -182x

Reorder the terms:
-14X3 + 182x + -182x + 19x2 + x4 = -169 + -182x

Combine like terms: 182x + -182x = 0
-14X3 + 0 + 19x2 + x4 = -169 + -182x
-14X3 + 19x2 + x4 = -169 + -182x

Add '-19x2' to each side of the equation.
-14X3 + 19x2 + -19x2 + x4 = -169 + -182x + -19x2

Combine like terms: 19x2 + -19x2 = 0
-14X3 + 0 + x4 = -169 + -182x + -19x2
-14X3 + x4 = -169 + -182x + -19x2

Add '-1x4' to each side of the equation.
-14X3 + x4 + -1x4 = -169 + -182x + -19x2 + -1x4

Combine like terms: x4 + -1x4 = 0
-14X3 + 0 = -169 + -182x + -19x2 + -1x4
-14X3 = -169 + -182x + -19x2 + -1x4

Divide each side by '-14'.
X3 = 12.07142857 + 13x + 1.357142857x2 + 0.07142857143x4

Simplifying
X3 = 12.07142857 + 13x + 1.357142857x2 + 0.07142857143x4

Reorder the terms:
-12.07142857 + X3 + -13x + -1.357142857x2 + -0.07142857143x4 = 12.07142857 + 13x + 1.357142857x2 + 0.07142857143x4 + -12.07142857 + -13x + -1.357142857x2 + -0.07142857143x4

Reorder the terms:
-12.07142857 + X3 + -13x + -1.357142857x2 + -0.07142857143x4 = 12.07142857 + -12.07142857 + 13x + -13x + 1.357142857x2 + -1.357142857x2 + 0.07142857143x4 + -0.07142857143x4

Combine like terms: 12.07142857 + -12.07142857 = 0.00000000
-12.07142857 + X3 + -13x + -1.357142857x2 + -0.07142857143x4 = 0.00000000 + 13x + -13x + 1.357142857x2 + -1.357142857x2 + 0.07142857143x4 + -0.07142857143x4
-12.07142857 + X3 + -13x + -1.357142857x2 + -0.07142857143x4 = 13x + -13x + 1.357142857x2 + -1.357142857x2 + 0.07142857143x4 + -0.07142857143x4

Combine like terms: 13x + -13x = 0
-12.07142857 + X3 + -13x + -1.357142857x2 + -0.07142857143x4 = 0 + 1.357142857x2 + -1.357142857x2 + 0.07142857143x4 + -0.07142857143x4
-12.07142857 + X3 + -13x + -1.357142857x2 + -0.07142857143x4 = 1.357142857x2 + -1.357142857x2 + 0.07142857143x4 + -0.07142857143x4

Combine like terms: 1.357142857x2 + -1.357142857x2 = 0.000000000
-12.07142857 + X3 + -13x + -1.357142857x2 + -0.07142857143x4 = 0.000000000 + 0.07142857143x4 + -0.07142857143x4
-12.07142857 + X3 + -13x + -1.357142857x2 + -0.07142857143x4 = 0.07142857143x4 + -0.07142857143x4

Combine like terms: 0.07142857143x4 + -0.07142857143x4 = 0.00000000000
-12.07142857 + X3 + -13x + -1.357142857x2 + -0.07142857143x4 = 0.00000000000

The solution to this equation could not be determined.

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