X^4+px^2+q=0

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Solution for X^4+px^2+q=0 equation:


Simplifying
X4 + px2 + q = 0

Solving
X4 + px2 + q = 0

Solving for variable 'X'.

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

Add '-1px2' to each side of the equation.
X4 + px2 + -1px2 + q = 0 + -1px2

Combine like terms: px2 + -1px2 = 0
X4 + 0 + q = 0 + -1px2
X4 + q = 0 + -1px2
Remove the zero:
X4 + q = -1px2

Add '-1q' to each side of the equation.
X4 + q + -1q = -1px2 + -1q

Combine like terms: q + -1q = 0
X4 + 0 = -1px2 + -1q
X4 = -1px2 + -1q

Simplifying
X4 = -1px2 + -1q

Reorder the terms:
X4 + px2 + q = -1px2 + px2 + -1q + q

Combine like terms: -1px2 + px2 = 0
X4 + px2 + q = 0 + -1q + q
X4 + px2 + q = -1q + q

Combine like terms: -1q + q = 0
X4 + px2 + q = 0

The solution to this equation could not be determined.

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