2x^3-128a^2x+32x^2+128x=0

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Solution for 2x^3-128a^2x+32x^2+128x=0 equation: 


Simplifying
2x3 + -128a2x + 32x2 + 128x = 0

Reorder the terms:
-128a2x + 128x + 32x2 + 2x3 = 0

Solving
-128a2x + 128x + 32x2 + 2x3 = 0

Solving for variable 'a'.

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

Add '-128x' to each side of the equation.
-128a2x + 128x + 32x2 + -128x + 2x3 = 0 + -128x

Reorder the terms:
-128a2x + 128x + -128x + 32x2 + 2x3 = 0 + -128x

Combine like terms: 128x + -128x = 0
-128a2x + 0 + 32x2 + 2x3 = 0 + -128x
-128a2x + 32x2 + 2x3 = 0 + -128x
Remove the zero:
-128a2x + 32x2 + 2x3 = -128x

Add '-32x2' to each side of the equation.
-128a2x + 32x2 + -32x2 + 2x3 = -128x + -32x2

Combine like terms: 32x2 + -32x2 = 0
-128a2x + 0 + 2x3 = -128x + -32x2
-128a2x + 2x3 = -128x + -32x2

Add '-2x3' to each side of the equation.
-128a2x + 2x3 + -2x3 = -128x + -32x2 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-128a2x + 0 = -128x + -32x2 + -2x3
-128a2x = -128x + -32x2 + -2x3

Divide each side by '-128x'.
a2 = 1 + 0.25x + 0.015625x2

Simplifying
a2 = 1 + 0.25x + 0.015625x2

Reorder the terms:
-1 + a2 + -0.25x + -0.015625x2 = 1 + 0.25x + 0.015625x2 + -1 + -0.25x + -0.015625x2

Reorder the terms:
-1 + a2 + -0.25x + -0.015625x2 = 1 + -1 + 0.25x + -0.25x + 0.015625x2 + -0.015625x2

Combine like terms: 1 + -1 = 0
-1 + a2 + -0.25x + -0.015625x2 = 0 + 0.25x + -0.25x + 0.015625x2 + -0.015625x2
-1 + a2 + -0.25x + -0.015625x2 = 0.25x + -0.25x + 0.015625x2 + -0.015625x2

Combine like terms: 0.25x + -0.25x = 0.00
-1 + a2 + -0.25x + -0.015625x2 = 0.00 + 0.015625x2 + -0.015625x2
-1 + a2 + -0.25x + -0.015625x2 = 0.015625x2 + -0.015625x2

Combine like terms: 0.015625x2 + -0.015625x2 = 0.000000
-1 + a2 + -0.25x + -0.015625x2 = 0.000000

The solution to this equation could not be determined.

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