X^4+2x^3-5x^2+10x=0

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Solution for X^4+2x^3-5x^2+10x=0 equation:


Simplifying
X4 + 2x3 + -5x2 + 10x = 0

Reorder the terms:
X4 + 10x + -5x2 + 2x3 = 0

Solving
X4 + 10x + -5x2 + 2x3 = 0

Solving for variable 'X'.

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

Add '-10x' to each side of the equation.
X4 + 10x + -5x2 + -10x + 2x3 = 0 + -10x

Reorder the terms:
X4 + 10x + -10x + -5x2 + 2x3 = 0 + -10x

Combine like terms: 10x + -10x = 0
X4 + 0 + -5x2 + 2x3 = 0 + -10x
X4 + -5x2 + 2x3 = 0 + -10x
Remove the zero:
X4 + -5x2 + 2x3 = -10x

Add '5x2' to each side of the equation.
X4 + -5x2 + 5x2 + 2x3 = -10x + 5x2

Combine like terms: -5x2 + 5x2 = 0
X4 + 0 + 2x3 = -10x + 5x2
X4 + 2x3 = -10x + 5x2

Add '-2x3' to each side of the equation.
X4 + 2x3 + -2x3 = -10x + 5x2 + -2x3

Combine like terms: 2x3 + -2x3 = 0
X4 + 0 = -10x + 5x2 + -2x3
X4 = -10x + 5x2 + -2x3

Simplifying
X4 = -10x + 5x2 + -2x3

Reorder the terms:
X4 + 10x + -5x2 + 2x3 = -10x + 10x + 5x2 + -5x2 + -2x3 + 2x3

Combine like terms: -10x + 10x = 0
X4 + 10x + -5x2 + 2x3 = 0 + 5x2 + -5x2 + -2x3 + 2x3
X4 + 10x + -5x2 + 2x3 = 5x2 + -5x2 + -2x3 + 2x3

Combine like terms: 5x2 + -5x2 = 0
X4 + 10x + -5x2 + 2x3 = 0 + -2x3 + 2x3
X4 + 10x + -5x2 + 2x3 = -2x3 + 2x3

Combine like terms: -2x3 + 2x3 = 0
X4 + 10x + -5x2 + 2x3 = 0

The solution to this equation could not be determined.

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