X^4-x^3+15x^2-5x-42=0

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Solution for X^4-x^3+15x^2-5x-42=0 equation: 


Simplifying
X4 + -1x3 + 15x2 + -5x + -42 = 0

Reorder the terms:
-42 + X4 + -5x + 15x2 + -1x3 = 0

Solving
-42 + X4 + -5x + 15x2 + -1x3 = 0

Solving for variable 'X'.

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

Add '42' to each side of the equation.
-42 + X4 + -5x + 15x2 + 42 + -1x3 = 0 + 42

Reorder the terms:
-42 + 42 + X4 + -5x + 15x2 + -1x3 = 0 + 42

Combine like terms: -42 + 42 = 0
0 + X4 + -5x + 15x2 + -1x3 = 0 + 42
X4 + -5x + 15x2 + -1x3 = 0 + 42

Combine like terms: 0 + 42 = 42
X4 + -5x + 15x2 + -1x3 = 42

Add '5x' to each side of the equation.
X4 + -5x + 15x2 + 5x + -1x3 = 42 + 5x

Reorder the terms:
X4 + -5x + 5x + 15x2 + -1x3 = 42 + 5x

Combine like terms: -5x + 5x = 0
X4 + 0 + 15x2 + -1x3 = 42 + 5x
X4 + 15x2 + -1x3 = 42 + 5x

Add '-15x2' to each side of the equation.
X4 + 15x2 + -15x2 + -1x3 = 42 + 5x + -15x2

Combine like terms: 15x2 + -15x2 = 0
X4 + 0 + -1x3 = 42 + 5x + -15x2
X4 + -1x3 = 42 + 5x + -15x2

Add 'x3' to each side of the equation.
X4 + -1x3 + x3 = 42 + 5x + -15x2 + x3

Combine like terms: -1x3 + x3 = 0
X4 + 0 = 42 + 5x + -15x2 + x3
X4 = 42 + 5x + -15x2 + x3

Simplifying
X4 = 42 + 5x + -15x2 + x3

Reorder the terms:
-42 + X4 + -5x + 15x2 + -1x3 = 42 + 5x + -15x2 + x3 + -42 + -5x + 15x2 + -1x3

Reorder the terms:
-42 + X4 + -5x + 15x2 + -1x3 = 42 + -42 + 5x + -5x + -15x2 + 15x2 + x3 + -1x3

Combine like terms: 42 + -42 = 0
-42 + X4 + -5x + 15x2 + -1x3 = 0 + 5x + -5x + -15x2 + 15x2 + x3 + -1x3
-42 + X4 + -5x + 15x2 + -1x3 = 5x + -5x + -15x2 + 15x2 + x3 + -1x3

Combine like terms: 5x + -5x = 0
-42 + X4 + -5x + 15x2 + -1x3 = 0 + -15x2 + 15x2 + x3 + -1x3
-42 + X4 + -5x + 15x2 + -1x3 = -15x2 + 15x2 + x3 + -1x3

Combine like terms: -15x2 + 15x2 = 0
-42 + X4 + -5x + 15x2 + -1x3 = 0 + x3 + -1x3
-42 + X4 + -5x + 15x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-42 + X4 + -5x + 15x2 + -1x3 = 0

The solution to this equation could not be determined.

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