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

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


Simplifying
X4 + 7x3 + -1x2 + 7x = 0

Reorder the terms:
X4 + 7x + -1x2 + 7x3 = 0

Solving
X4 + 7x + -1x2 + 7x3 = 0

Solving for variable 'X'.

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

Add '-7x' to each side of the equation.
X4 + 7x + -1x2 + -7x + 7x3 = 0 + -7x

Reorder the terms:
X4 + 7x + -7x + -1x2 + 7x3 = 0 + -7x

Combine like terms: 7x + -7x = 0
X4 + 0 + -1x2 + 7x3 = 0 + -7x
X4 + -1x2 + 7x3 = 0 + -7x
Remove the zero:
X4 + -1x2 + 7x3 = -7x

Add 'x2' to each side of the equation.
X4 + -1x2 + x2 + 7x3 = -7x + x2

Combine like terms: -1x2 + x2 = 0
X4 + 0 + 7x3 = -7x + x2
X4 + 7x3 = -7x + x2

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

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

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

Reorder the terms:
X4 + 7x + -1x2 + 7x3 = -7x + 7x + x2 + -1x2 + -7x3 + 7x3

Combine like terms: -7x + 7x = 0
X4 + 7x + -1x2 + 7x3 = 0 + x2 + -1x2 + -7x3 + 7x3
X4 + 7x + -1x2 + 7x3 = x2 + -1x2 + -7x3 + 7x3

Combine like terms: x2 + -1x2 = 0
X4 + 7x + -1x2 + 7x3 = 0 + -7x3 + 7x3
X4 + 7x + -1x2 + 7x3 = -7x3 + 7x3

Combine like terms: -7x3 + 7x3 = 0
X4 + 7x + -1x2 + 7x3 = 0

The solution to this equation could not be determined.

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