3x^3-48a^2x+18x^2+27x=0

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Solution for 3x^3-48a^2x+18x^2+27x=0 equation: 


Simplifying
3x3 + -48a2x + 18x2 + 27x = 0

Reorder the terms:
-48a2x + 27x + 18x2 + 3x3 = 0

Solving
-48a2x + 27x + 18x2 + 3x3 = 0

Solving for variable 'a'.

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

Add '-27x' to each side of the equation.
-48a2x + 27x + 18x2 + -27x + 3x3 = 0 + -27x

Reorder the terms:
-48a2x + 27x + -27x + 18x2 + 3x3 = 0 + -27x

Combine like terms: 27x + -27x = 0
-48a2x + 0 + 18x2 + 3x3 = 0 + -27x
-48a2x + 18x2 + 3x3 = 0 + -27x
Remove the zero:
-48a2x + 18x2 + 3x3 = -27x

Add '-18x2' to each side of the equation.
-48a2x + 18x2 + -18x2 + 3x3 = -27x + -18x2

Combine like terms: 18x2 + -18x2 = 0
-48a2x + 0 + 3x3 = -27x + -18x2
-48a2x + 3x3 = -27x + -18x2

Add '-3x3' to each side of the equation.
-48a2x + 3x3 + -3x3 = -27x + -18x2 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-48a2x + 0 = -27x + -18x2 + -3x3
-48a2x = -27x + -18x2 + -3x3

Divide each side by '-48x'.
a2 = 0.5625 + 0.375x + 0.0625x2

Simplifying
a2 = 0.5625 + 0.375x + 0.0625x2

Reorder the terms:
-0.5625 + a2 + -0.375x + -0.0625x2 = 0.5625 + 0.375x + 0.0625x2 + -0.5625 + -0.375x + -0.0625x2

Reorder the terms:
-0.5625 + a2 + -0.375x + -0.0625x2 = 0.5625 + -0.5625 + 0.375x + -0.375x + 0.0625x2 + -0.0625x2

Combine like terms: 0.5625 + -0.5625 = 0.0000
-0.5625 + a2 + -0.375x + -0.0625x2 = 0.0000 + 0.375x + -0.375x + 0.0625x2 + -0.0625x2
-0.5625 + a2 + -0.375x + -0.0625x2 = 0.375x + -0.375x + 0.0625x2 + -0.0625x2

Combine like terms: 0.375x + -0.375x = 0.000
-0.5625 + a2 + -0.375x + -0.0625x2 = 0.000 + 0.0625x2 + -0.0625x2
-0.5625 + a2 + -0.375x + -0.0625x2 = 0.0625x2 + -0.0625x2

Combine like terms: 0.0625x2 + -0.0625x2 = 0.0000
-0.5625 + a2 + -0.375x + -0.0625x2 = 0.0000

The solution to this equation could not be determined.

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