X^4+2x^3+x^2+32x-240=0

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Solution for X^4+2x^3+x^2+32x-240=0 equation:


Simplifying
X4 + 2x3 + x2 + 32x + -240 = 0

Reorder the terms:
-240 + X4 + 32x + x2 + 2x3 = 0

Solving
-240 + X4 + 32x + x2 + 2x3 = 0

Solving for variable 'X'.

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

Add '240' to each side of the equation.
-240 + X4 + 32x + x2 + 240 + 2x3 = 0 + 240

Reorder the terms:
-240 + 240 + X4 + 32x + x2 + 2x3 = 0 + 240

Combine like terms: -240 + 240 = 0
0 + X4 + 32x + x2 + 2x3 = 0 + 240
X4 + 32x + x2 + 2x3 = 0 + 240

Combine like terms: 0 + 240 = 240
X4 + 32x + x2 + 2x3 = 240

Add '-32x' to each side of the equation.
X4 + 32x + x2 + -32x + 2x3 = 240 + -32x

Reorder the terms:
X4 + 32x + -32x + x2 + 2x3 = 240 + -32x

Combine like terms: 32x + -32x = 0
X4 + 0 + x2 + 2x3 = 240 + -32x
X4 + x2 + 2x3 = 240 + -32x

Add '-1x2' to each side of the equation.
X4 + x2 + -1x2 + 2x3 = 240 + -32x + -1x2

Combine like terms: x2 + -1x2 = 0
X4 + 0 + 2x3 = 240 + -32x + -1x2
X4 + 2x3 = 240 + -32x + -1x2

Add '-2x3' to each side of the equation.
X4 + 2x3 + -2x3 = 240 + -32x + -1x2 + -2x3

Combine like terms: 2x3 + -2x3 = 0
X4 + 0 = 240 + -32x + -1x2 + -2x3
X4 = 240 + -32x + -1x2 + -2x3

Simplifying
X4 = 240 + -32x + -1x2 + -2x3

Reorder the terms:
-240 + X4 + 32x + x2 + 2x3 = 240 + -32x + -1x2 + -2x3 + -240 + 32x + x2 + 2x3

Reorder the terms:
-240 + X4 + 32x + x2 + 2x3 = 240 + -240 + -32x + 32x + -1x2 + x2 + -2x3 + 2x3

Combine like terms: 240 + -240 = 0
-240 + X4 + 32x + x2 + 2x3 = 0 + -32x + 32x + -1x2 + x2 + -2x3 + 2x3
-240 + X4 + 32x + x2 + 2x3 = -32x + 32x + -1x2 + x2 + -2x3 + 2x3

Combine like terms: -32x + 32x = 0
-240 + X4 + 32x + x2 + 2x3 = 0 + -1x2 + x2 + -2x3 + 2x3
-240 + X4 + 32x + x2 + 2x3 = -1x2 + x2 + -2x3 + 2x3

Combine like terms: -1x2 + x2 = 0
-240 + X4 + 32x + x2 + 2x3 = 0 + -2x3 + 2x3
-240 + X4 + 32x + x2 + 2x3 = -2x3 + 2x3

Combine like terms: -2x3 + 2x3 = 0
-240 + X4 + 32x + x2 + 2x3 = 0

The solution to this equation could not be determined.

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