X^4-4x^3+8x^2-12x+15=0

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Solution for X^4-4x^3+8x^2-12x+15=0 equation: 


Simplifying
X4 + -4x3 + 8x2 + -12x + 15 = 0

Reorder the terms:
15 + X4 + -12x + 8x2 + -4x3 = 0

Solving
15 + X4 + -12x + 8x2 + -4x3 = 0

Solving for variable 'X'.

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

Add '-15' to each side of the equation.
15 + X4 + -12x + 8x2 + -15 + -4x3 = 0 + -15

Reorder the terms:
15 + -15 + X4 + -12x + 8x2 + -4x3 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + X4 + -12x + 8x2 + -4x3 = 0 + -15
X4 + -12x + 8x2 + -4x3 = 0 + -15

Combine like terms: 0 + -15 = -15
X4 + -12x + 8x2 + -4x3 = -15

Add '12x' to each side of the equation.
X4 + -12x + 8x2 + 12x + -4x3 = -15 + 12x

Reorder the terms:
X4 + -12x + 12x + 8x2 + -4x3 = -15 + 12x

Combine like terms: -12x + 12x = 0
X4 + 0 + 8x2 + -4x3 = -15 + 12x
X4 + 8x2 + -4x3 = -15 + 12x

Add '-8x2' to each side of the equation.
X4 + 8x2 + -8x2 + -4x3 = -15 + 12x + -8x2

Combine like terms: 8x2 + -8x2 = 0
X4 + 0 + -4x3 = -15 + 12x + -8x2
X4 + -4x3 = -15 + 12x + -8x2

Add '4x3' to each side of the equation.
X4 + -4x3 + 4x3 = -15 + 12x + -8x2 + 4x3

Combine like terms: -4x3 + 4x3 = 0
X4 + 0 = -15 + 12x + -8x2 + 4x3
X4 = -15 + 12x + -8x2 + 4x3

Simplifying
X4 = -15 + 12x + -8x2 + 4x3

Reorder the terms:
15 + X4 + -12x + 8x2 + -4x3 = -15 + 12x + -8x2 + 4x3 + 15 + -12x + 8x2 + -4x3

Reorder the terms:
15 + X4 + -12x + 8x2 + -4x3 = -15 + 15 + 12x + -12x + -8x2 + 8x2 + 4x3 + -4x3

Combine like terms: -15 + 15 = 0
15 + X4 + -12x + 8x2 + -4x3 = 0 + 12x + -12x + -8x2 + 8x2 + 4x3 + -4x3
15 + X4 + -12x + 8x2 + -4x3 = 12x + -12x + -8x2 + 8x2 + 4x3 + -4x3

Combine like terms: 12x + -12x = 0
15 + X4 + -12x + 8x2 + -4x3 = 0 + -8x2 + 8x2 + 4x3 + -4x3
15 + X4 + -12x + 8x2 + -4x3 = -8x2 + 8x2 + 4x3 + -4x3

Combine like terms: -8x2 + 8x2 = 0
15 + X4 + -12x + 8x2 + -4x3 = 0 + 4x3 + -4x3
15 + X4 + -12x + 8x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
15 + X4 + -12x + 8x2 + -4x3 = 0

The solution to this equation could not be determined.

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