X^4+7x^3-24x^2-180x=0

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Solution for X^4+7x^3-24x^2-180x=0 equation:


Simplifying
X4 + 7x3 + -24x2 + -180x = 0

Reorder the terms:
X4 + -180x + -24x2 + 7x3 = 0

Solving
X4 + -180x + -24x2 + 7x3 = 0

Solving for variable 'X'.

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

Add '180x' to each side of the equation.
X4 + -180x + -24x2 + 180x + 7x3 = 0 + 180x

Reorder the terms:
X4 + -180x + 180x + -24x2 + 7x3 = 0 + 180x

Combine like terms: -180x + 180x = 0
X4 + 0 + -24x2 + 7x3 = 0 + 180x
X4 + -24x2 + 7x3 = 0 + 180x
Remove the zero:
X4 + -24x2 + 7x3 = 180x

Add '24x2' to each side of the equation.
X4 + -24x2 + 24x2 + 7x3 = 180x + 24x2

Combine like terms: -24x2 + 24x2 = 0
X4 + 0 + 7x3 = 180x + 24x2
X4 + 7x3 = 180x + 24x2

Add '-7x3' to each side of the equation.
X4 + 7x3 + -7x3 = 180x + 24x2 + -7x3

Combine like terms: 7x3 + -7x3 = 0
X4 + 0 = 180x + 24x2 + -7x3
X4 = 180x + 24x2 + -7x3

Simplifying
X4 = 180x + 24x2 + -7x3

Reorder the terms:
X4 + -180x + -24x2 + 7x3 = 180x + -180x + 24x2 + -24x2 + -7x3 + 7x3

Combine like terms: 180x + -180x = 0
X4 + -180x + -24x2 + 7x3 = 0 + 24x2 + -24x2 + -7x3 + 7x3
X4 + -180x + -24x2 + 7x3 = 24x2 + -24x2 + -7x3 + 7x3

Combine like terms: 24x2 + -24x2 = 0
X4 + -180x + -24x2 + 7x3 = 0 + -7x3 + 7x3
X4 + -180x + -24x2 + 7x3 = -7x3 + 7x3

Combine like terms: -7x3 + 7x3 = 0
X4 + -180x + -24x2 + 7x3 = 0

The solution to this equation could not be determined.

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