X^3-10x^2+31x-42=0

Solution for X^3-10x^2+31x-42=0 equation:

Simplifying
X3 + -10x2 + 31x + -42 = 0

Reorder the terms:
-42 + X3 + 31x + -10x2 = 0

Solving
-42 + X3 + 31x + -10x2 = 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 + X3 + 31x + 42 + -10x2 = 0 + 42

Reorder the terms:
-42 + 42 + X3 + 31x + -10x2 = 0 + 42

Combine like terms: -42 + 42 = 0
0 + X3 + 31x + -10x2 = 0 + 42
X3 + 31x + -10x2 = 0 + 42

Combine like terms: 0 + 42 = 42
X3 + 31x + -10x2 = 42

Add '-31x' to each side of the equation.
X3 + 31x + -31x + -10x2 = 42 + -31x

Combine like terms: 31x + -31x = 0
X3 + 0 + -10x2 = 42 + -31x
X3 + -10x2 = 42 + -31x

Add '10x2' to each side of the equation.
X3 + -10x2 + 10x2 = 42 + -31x + 10x2

Combine like terms: -10x2 + 10x2 = 0
X3 + 0 = 42 + -31x + 10x2
X3 = 42 + -31x + 10x2

Simplifying
X3 = 42 + -31x + 10x2

Reorder the terms:
-42 + X3 + 31x + -10x2 = 42 + -31x + 10x2 + -42 + 31x + -10x2

Reorder the terms:
-42 + X3 + 31x + -10x2 = 42 + -42 + -31x + 31x + 10x2 + -10x2

Combine like terms: 42 + -42 = 0
-42 + X3 + 31x + -10x2 = 0 + -31x + 31x + 10x2 + -10x2
-42 + X3 + 31x + -10x2 = -31x + 31x + 10x2 + -10x2

Combine like terms: -31x + 31x = 0
-42 + X3 + 31x + -10x2 = 0 + 10x2 + -10x2
-42 + X3 + 31x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-42 + X3 + 31x + -10x2 = 0

The solution to this equation could not be determined.