2x^3-128a^2x+16x^2+32x=

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Solution for 2x^3-128a^2x+16x^2+32x= equation:


Simplifying
2x3 + -128a2x + 16x2 + 32x = 0

Reorder the terms:
-128a2x + 32x + 16x2 + 2x3 = 0

Solving
-128a2x + 32x + 16x2 + 2x3 = 0

Solving for variable 'a'.

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

Add '-32x' to each side of the equation.
-128a2x + 32x + 16x2 + -32x + 2x3 = 0 + -32x

Reorder the terms:
-128a2x + 32x + -32x + 16x2 + 2x3 = 0 + -32x

Combine like terms: 32x + -32x = 0
-128a2x + 0 + 16x2 + 2x3 = 0 + -32x
-128a2x + 16x2 + 2x3 = 0 + -32x
Remove the zero:
-128a2x + 16x2 + 2x3 = -32x

Add '-16x2' to each side of the equation.
-128a2x + 16x2 + -16x2 + 2x3 = -32x + -16x2

Combine like terms: 16x2 + -16x2 = 0
-128a2x + 0 + 2x3 = -32x + -16x2
-128a2x + 2x3 = -32x + -16x2

Add '-2x3' to each side of the equation.
-128a2x + 2x3 + -2x3 = -32x + -16x2 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-128a2x + 0 = -32x + -16x2 + -2x3
-128a2x = -32x + -16x2 + -2x3

Divide each side by '-128x'.
a2 = 0.25 + 0.125x + 0.015625x2

Simplifying
a2 = 0.25 + 0.125x + 0.015625x2

Reorder the terms:
-0.25 + a2 + -0.125x + -0.015625x2 = 0.25 + 0.125x + 0.015625x2 + -0.25 + -0.125x + -0.015625x2

Reorder the terms:
-0.25 + a2 + -0.125x + -0.015625x2 = 0.25 + -0.25 + 0.125x + -0.125x + 0.015625x2 + -0.015625x2

Combine like terms: 0.25 + -0.25 = 0.00
-0.25 + a2 + -0.125x + -0.015625x2 = 0.00 + 0.125x + -0.125x + 0.015625x2 + -0.015625x2
-0.25 + a2 + -0.125x + -0.015625x2 = 0.125x + -0.125x + 0.015625x2 + -0.015625x2

Combine like terms: 0.125x + -0.125x = 0.000
-0.25 + a2 + -0.125x + -0.015625x2 = 0.000 + 0.015625x2 + -0.015625x2
-0.25 + a2 + -0.125x + -0.015625x2 = 0.015625x2 + -0.015625x2

Combine like terms: 0.015625x2 + -0.015625x2 = 0.000000
-0.25 + a2 + -0.125x + -0.015625x2 = 0.000000

The solution to this equation could not be determined.

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