4x^3-64a^2*x+48x^2+144x=0

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Solution for 4x^3-64a^2*x+48x^2+144x=0 equation: 


Simplifying
4x3 + -64a2 * x + 48x2 + 144x = 0

Multiply a2 * x
4x3 + -64a2x + 48x2 + 144x = 0

Reorder the terms:
-64a2x + 144x + 48x2 + 4x3 = 0

Solving
-64a2x + 144x + 48x2 + 4x3 = 0

Solving for variable 'a'.

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

Add '-144x' to each side of the equation.
-64a2x + 144x + 48x2 + -144x + 4x3 = 0 + -144x

Reorder the terms:
-64a2x + 144x + -144x + 48x2 + 4x3 = 0 + -144x

Combine like terms: 144x + -144x = 0
-64a2x + 0 + 48x2 + 4x3 = 0 + -144x
-64a2x + 48x2 + 4x3 = 0 + -144x
Remove the zero:
-64a2x + 48x2 + 4x3 = -144x

Add '-48x2' to each side of the equation.
-64a2x + 48x2 + -48x2 + 4x3 = -144x + -48x2

Combine like terms: 48x2 + -48x2 = 0
-64a2x + 0 + 4x3 = -144x + -48x2
-64a2x + 4x3 = -144x + -48x2

Add '-4x3' to each side of the equation.
-64a2x + 4x3 + -4x3 = -144x + -48x2 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-64a2x + 0 = -144x + -48x2 + -4x3
-64a2x = -144x + -48x2 + -4x3

Divide each side by '-64x'.
a2 = 2.25 + 0.75x + 0.0625x2

Simplifying
a2 = 2.25 + 0.75x + 0.0625x2

Reorder the terms:
-2.25 + a2 + -0.75x + -0.0625x2 = 2.25 + 0.75x + 0.0625x2 + -2.25 + -0.75x + -0.0625x2

Reorder the terms:
-2.25 + a2 + -0.75x + -0.0625x2 = 2.25 + -2.25 + 0.75x + -0.75x + 0.0625x2 + -0.0625x2

Combine like terms: 2.25 + -2.25 = 0.00
-2.25 + a2 + -0.75x + -0.0625x2 = 0.00 + 0.75x + -0.75x + 0.0625x2 + -0.0625x2
-2.25 + a2 + -0.75x + -0.0625x2 = 0.75x + -0.75x + 0.0625x2 + -0.0625x2

Combine like terms: 0.75x + -0.75x = 0.00
-2.25 + a2 + -0.75x + -0.0625x2 = 0.00 + 0.0625x2 + -0.0625x2
-2.25 + a2 + -0.75x + -0.0625x2 = 0.0625x2 + -0.0625x2

Combine like terms: 0.0625x2 + -0.0625x2 = 0.0000
-2.25 + a2 + -0.75x + -0.0625x2 = 0.0000

The solution to this equation could not be determined.

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