X^4+x^3-4x^2+5x-3=9

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Solution for X^4+x^3-4x^2+5x-3=9 equation:


Simplifying
X4 + x3 + -4x2 + 5x + -3 = 9

Reorder the terms:
-3 + X4 + 5x + -4x2 + x3 = 9

Solving
-3 + X4 + 5x + -4x2 + x3 = 9

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + X4 + 5x + -4x2 + 3 + x3 = 9 + 3

Reorder the terms:
-3 + 3 + X4 + 5x + -4x2 + x3 = 9 + 3

Combine like terms: -3 + 3 = 0
0 + X4 + 5x + -4x2 + x3 = 9 + 3
X4 + 5x + -4x2 + x3 = 9 + 3

Combine like terms: 9 + 3 = 12
X4 + 5x + -4x2 + x3 = 12

Add '-5x' to each side of the equation.
X4 + 5x + -4x2 + -5x + x3 = 12 + -5x

Reorder the terms:
X4 + 5x + -5x + -4x2 + x3 = 12 + -5x

Combine like terms: 5x + -5x = 0
X4 + 0 + -4x2 + x3 = 12 + -5x
X4 + -4x2 + x3 = 12 + -5x

Add '4x2' to each side of the equation.
X4 + -4x2 + 4x2 + x3 = 12 + -5x + 4x2

Combine like terms: -4x2 + 4x2 = 0
X4 + 0 + x3 = 12 + -5x + 4x2
X4 + x3 = 12 + -5x + 4x2

Add '-1x3' to each side of the equation.
X4 + x3 + -1x3 = 12 + -5x + 4x2 + -1x3

Combine like terms: x3 + -1x3 = 0
X4 + 0 = 12 + -5x + 4x2 + -1x3
X4 = 12 + -5x + 4x2 + -1x3

Simplifying
X4 = 12 + -5x + 4x2 + -1x3

Reorder the terms:
-12 + X4 + 5x + -4x2 + x3 = 12 + -5x + 4x2 + -1x3 + -12 + 5x + -4x2 + x3

Reorder the terms:
-12 + X4 + 5x + -4x2 + x3 = 12 + -12 + -5x + 5x + 4x2 + -4x2 + -1x3 + x3

Combine like terms: 12 + -12 = 0
-12 + X4 + 5x + -4x2 + x3 = 0 + -5x + 5x + 4x2 + -4x2 + -1x3 + x3
-12 + X4 + 5x + -4x2 + x3 = -5x + 5x + 4x2 + -4x2 + -1x3 + x3

Combine like terms: -5x + 5x = 0
-12 + X4 + 5x + -4x2 + x3 = 0 + 4x2 + -4x2 + -1x3 + x3
-12 + X4 + 5x + -4x2 + x3 = 4x2 + -4x2 + -1x3 + x3

Combine like terms: 4x2 + -4x2 = 0
-12 + X4 + 5x + -4x2 + x3 = 0 + -1x3 + x3
-12 + X4 + 5x + -4x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-12 + X4 + 5x + -4x2 + x3 = 0

The solution to this equation could not be determined.

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