x^4-2ax^3+1=0

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Solution for x^4-2ax^3+1=0 equation:


Simplifying
x4 + -2ax3 + 1 = 0

Reorder the terms:
1 + -2ax3 + x4 = 0

Solving
1 + -2ax3 + x4 = 0

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + -2ax3 + -1 + x4 = 0 + -1

Reorder the terms:
1 + -1 + -2ax3 + x4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2ax3 + x4 = 0 + -1
-2ax3 + x4 = 0 + -1

Combine like terms: 0 + -1 = -1
-2ax3 + x4 = -1

Add '-1x4' to each side of the equation.
-2ax3 + x4 + -1x4 = -1 + -1x4

Combine like terms: x4 + -1x4 = 0
-2ax3 + 0 = -1 + -1x4
-2ax3 = -1 + -1x4

Divide each side by '-2x3'.
a = 0.5x-3 + 0.5x

Simplifying
a = 0.5x-3 + 0.5x

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