X^4+16x^3+60x^2-320x-1250=0

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Solution for X^4+16x^3+60x^2-320x-1250=0 equation:


Simplifying
X4 + 16x3 + 60x2 + -320x + -1250 = 0

Reorder the terms:
-1250 + X4 + -320x + 60x2 + 16x3 = 0

Solving
-1250 + X4 + -320x + 60x2 + 16x3 = 0

Solving for variable 'X'.

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

Add '1250' to each side of the equation.
-1250 + X4 + -320x + 60x2 + 1250 + 16x3 = 0 + 1250

Reorder the terms:
-1250 + 1250 + X4 + -320x + 60x2 + 16x3 = 0 + 1250

Combine like terms: -1250 + 1250 = 0
0 + X4 + -320x + 60x2 + 16x3 = 0 + 1250
X4 + -320x + 60x2 + 16x3 = 0 + 1250

Combine like terms: 0 + 1250 = 1250
X4 + -320x + 60x2 + 16x3 = 1250

Add '320x' to each side of the equation.
X4 + -320x + 60x2 + 320x + 16x3 = 1250 + 320x

Reorder the terms:
X4 + -320x + 320x + 60x2 + 16x3 = 1250 + 320x

Combine like terms: -320x + 320x = 0
X4 + 0 + 60x2 + 16x3 = 1250 + 320x
X4 + 60x2 + 16x3 = 1250 + 320x

Add '-60x2' to each side of the equation.
X4 + 60x2 + -60x2 + 16x3 = 1250 + 320x + -60x2

Combine like terms: 60x2 + -60x2 = 0
X4 + 0 + 16x3 = 1250 + 320x + -60x2
X4 + 16x3 = 1250 + 320x + -60x2

Add '-16x3' to each side of the equation.
X4 + 16x3 + -16x3 = 1250 + 320x + -60x2 + -16x3

Combine like terms: 16x3 + -16x3 = 0
X4 + 0 = 1250 + 320x + -60x2 + -16x3
X4 = 1250 + 320x + -60x2 + -16x3

Simplifying
X4 = 1250 + 320x + -60x2 + -16x3

Reorder the terms:
-1250 + X4 + -320x + 60x2 + 16x3 = 1250 + 320x + -60x2 + -16x3 + -1250 + -320x + 60x2 + 16x3

Reorder the terms:
-1250 + X4 + -320x + 60x2 + 16x3 = 1250 + -1250 + 320x + -320x + -60x2 + 60x2 + -16x3 + 16x3

Combine like terms: 1250 + -1250 = 0
-1250 + X4 + -320x + 60x2 + 16x3 = 0 + 320x + -320x + -60x2 + 60x2 + -16x3 + 16x3
-1250 + X4 + -320x + 60x2 + 16x3 = 320x + -320x + -60x2 + 60x2 + -16x3 + 16x3

Combine like terms: 320x + -320x = 0
-1250 + X4 + -320x + 60x2 + 16x3 = 0 + -60x2 + 60x2 + -16x3 + 16x3
-1250 + X4 + -320x + 60x2 + 16x3 = -60x2 + 60x2 + -16x3 + 16x3

Combine like terms: -60x2 + 60x2 = 0
-1250 + X4 + -320x + 60x2 + 16x3 = 0 + -16x3 + 16x3
-1250 + X4 + -320x + 60x2 + 16x3 = -16x3 + 16x3

Combine like terms: -16x3 + 16x3 = 0
-1250 + X4 + -320x + 60x2 + 16x3 = 0

The solution to this equation could not be determined.

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