X^4-8x^3-72x^2+24x=0

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Solution for X^4-8x^3-72x^2+24x=0 equation:


Simplifying
X4 + -8x3 + -72x2 + 24x = 0

Reorder the terms:
X4 + 24x + -72x2 + -8x3 = 0

Solving
X4 + 24x + -72x2 + -8x3 = 0

Solving for variable 'X'.

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

Add '-24x' to each side of the equation.
X4 + 24x + -72x2 + -24x + -8x3 = 0 + -24x

Reorder the terms:
X4 + 24x + -24x + -72x2 + -8x3 = 0 + -24x

Combine like terms: 24x + -24x = 0
X4 + 0 + -72x2 + -8x3 = 0 + -24x
X4 + -72x2 + -8x3 = 0 + -24x
Remove the zero:
X4 + -72x2 + -8x3 = -24x

Add '72x2' to each side of the equation.
X4 + -72x2 + 72x2 + -8x3 = -24x + 72x2

Combine like terms: -72x2 + 72x2 = 0
X4 + 0 + -8x3 = -24x + 72x2
X4 + -8x3 = -24x + 72x2

Add '8x3' to each side of the equation.
X4 + -8x3 + 8x3 = -24x + 72x2 + 8x3

Combine like terms: -8x3 + 8x3 = 0
X4 + 0 = -24x + 72x2 + 8x3
X4 = -24x + 72x2 + 8x3

Simplifying
X4 = -24x + 72x2 + 8x3

Reorder the terms:
X4 + 24x + -72x2 + -8x3 = -24x + 24x + 72x2 + -72x2 + 8x3 + -8x3

Combine like terms: -24x + 24x = 0
X4 + 24x + -72x2 + -8x3 = 0 + 72x2 + -72x2 + 8x3 + -8x3
X4 + 24x + -72x2 + -8x3 = 72x2 + -72x2 + 8x3 + -8x3

Combine like terms: 72x2 + -72x2 = 0
X4 + 24x + -72x2 + -8x3 = 0 + 8x3 + -8x3
X4 + 24x + -72x2 + -8x3 = 8x3 + -8x3

Combine like terms: 8x3 + -8x3 = 0
X4 + 24x + -72x2 + -8x3 = 0

The solution to this equation could not be determined.

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