X^5-3x^4-15x^3+45x^2-16x+48=0

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Solution for X^5-3x^4-15x^3+45x^2-16x+48=0 equation:


Simplifying
X5 + -3x4 + -15x3 + 45x2 + -16x + 48 = 0

Reorder the terms:
48 + X5 + -16x + 45x2 + -15x3 + -3x4 = 0

Solving
48 + X5 + -16x + 45x2 + -15x3 + -3x4 = 0

Solving for variable 'X'.

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

Add '-48' to each side of the equation.
48 + X5 + -16x + 45x2 + -15x3 + -48 + -3x4 = 0 + -48

Reorder the terms:
48 + -48 + X5 + -16x + 45x2 + -15x3 + -3x4 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + X5 + -16x + 45x2 + -15x3 + -3x4 = 0 + -48
X5 + -16x + 45x2 + -15x3 + -3x4 = 0 + -48

Combine like terms: 0 + -48 = -48
X5 + -16x + 45x2 + -15x3 + -3x4 = -48

Add '16x' to each side of the equation.
X5 + -16x + 45x2 + -15x3 + 16x + -3x4 = -48 + 16x

Reorder the terms:
X5 + -16x + 16x + 45x2 + -15x3 + -3x4 = -48 + 16x

Combine like terms: -16x + 16x = 0
X5 + 0 + 45x2 + -15x3 + -3x4 = -48 + 16x
X5 + 45x2 + -15x3 + -3x4 = -48 + 16x

Add '-45x2' to each side of the equation.
X5 + 45x2 + -15x3 + -45x2 + -3x4 = -48 + 16x + -45x2

Reorder the terms:
X5 + 45x2 + -45x2 + -15x3 + -3x4 = -48 + 16x + -45x2

Combine like terms: 45x2 + -45x2 = 0
X5 + 0 + -15x3 + -3x4 = -48 + 16x + -45x2
X5 + -15x3 + -3x4 = -48 + 16x + -45x2

Add '15x3' to each side of the equation.
X5 + -15x3 + 15x3 + -3x4 = -48 + 16x + -45x2 + 15x3

Combine like terms: -15x3 + 15x3 = 0
X5 + 0 + -3x4 = -48 + 16x + -45x2 + 15x3
X5 + -3x4 = -48 + 16x + -45x2 + 15x3

Add '3x4' to each side of the equation.
X5 + -3x4 + 3x4 = -48 + 16x + -45x2 + 15x3 + 3x4

Combine like terms: -3x4 + 3x4 = 0
X5 + 0 = -48 + 16x + -45x2 + 15x3 + 3x4
X5 = -48 + 16x + -45x2 + 15x3 + 3x4

Simplifying
X5 = -48 + 16x + -45x2 + 15x3 + 3x4

Reorder the terms:
48 + X5 + -16x + 45x2 + -15x3 + -3x4 = -48 + 16x + -45x2 + 15x3 + 3x4 + 48 + -16x + 45x2 + -15x3 + -3x4

Reorder the terms:
48 + X5 + -16x + 45x2 + -15x3 + -3x4 = -48 + 48 + 16x + -16x + -45x2 + 45x2 + 15x3 + -15x3 + 3x4 + -3x4

Combine like terms: -48 + 48 = 0
48 + X5 + -16x + 45x2 + -15x3 + -3x4 = 0 + 16x + -16x + -45x2 + 45x2 + 15x3 + -15x3 + 3x4 + -3x4
48 + X5 + -16x + 45x2 + -15x3 + -3x4 = 16x + -16x + -45x2 + 45x2 + 15x3 + -15x3 + 3x4 + -3x4

Combine like terms: 16x + -16x = 0
48 + X5 + -16x + 45x2 + -15x3 + -3x4 = 0 + -45x2 + 45x2 + 15x3 + -15x3 + 3x4 + -3x4
48 + X5 + -16x + 45x2 + -15x3 + -3x4 = -45x2 + 45x2 + 15x3 + -15x3 + 3x4 + -3x4

Combine like terms: -45x2 + 45x2 = 0
48 + X5 + -16x + 45x2 + -15x3 + -3x4 = 0 + 15x3 + -15x3 + 3x4 + -3x4
48 + X5 + -16x + 45x2 + -15x3 + -3x4 = 15x3 + -15x3 + 3x4 + -3x4

Combine like terms: 15x3 + -15x3 = 0
48 + X5 + -16x + 45x2 + -15x3 + -3x4 = 0 + 3x4 + -3x4
48 + X5 + -16x + 45x2 + -15x3 + -3x4 = 3x4 + -3x4

Combine like terms: 3x4 + -3x4 = 0
48 + X5 + -16x + 45x2 + -15x3 + -3x4 = 0

The solution to this equation could not be determined.

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