x^4+8X^3+2x^2=0

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


Simplifying
x4 + 8X3 + 2x2 = 0

Reorder the terms:
8X3 + 2x2 + x4 = 0

Solving
8X3 + 2x2 + x4 = 0

Solving for variable 'X'.

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

Add '-2x2' to each side of the equation.
8X3 + 2x2 + -2x2 + x4 = 0 + -2x2

Combine like terms: 2x2 + -2x2 = 0
8X3 + 0 + x4 = 0 + -2x2
8X3 + x4 = 0 + -2x2
Remove the zero:
8X3 + x4 = -2x2

Add '-1x4' to each side of the equation.
8X3 + x4 + -1x4 = -2x2 + -1x4

Combine like terms: x4 + -1x4 = 0
8X3 + 0 = -2x2 + -1x4
8X3 = -2x2 + -1x4

Divide each side by '8'.
X3 = -0.25x2 + -0.125x4

Simplifying
X3 = -0.25x2 + -0.125x4

Reorder the terms:
X3 + 0.25x2 + 0.125x4 = -0.25x2 + 0.25x2 + -0.125x4 + 0.125x4

Combine like terms: -0.25x2 + 0.25x2 = 0.00
X3 + 0.25x2 + 0.125x4 = 0.00 + -0.125x4 + 0.125x4
X3 + 0.25x2 + 0.125x4 = -0.125x4 + 0.125x4

Combine like terms: -0.125x4 + 0.125x4 = 0.000
X3 + 0.25x2 + 0.125x4 = 0.000

The solution to this equation could not be determined.

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