3x^3-147a^2x+18x^2+27x=0

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Solution for 3x^3-147a^2x+18x^2+27x=0 equation: 


Simplifying
3x3 + -147a2x + 18x2 + 27x = 0

Reorder the terms:
-147a2x + 27x + 18x2 + 3x3 = 0

Solving
-147a2x + 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.
-147a2x + 27x + 18x2 + -27x + 3x3 = 0 + -27x

Reorder the terms:
-147a2x + 27x + -27x + 18x2 + 3x3 = 0 + -27x

Combine like terms: 27x + -27x = 0
-147a2x + 0 + 18x2 + 3x3 = 0 + -27x
-147a2x + 18x2 + 3x3 = 0 + -27x
Remove the zero:
-147a2x + 18x2 + 3x3 = -27x

Add '-18x2' to each side of the equation.
-147a2x + 18x2 + -18x2 + 3x3 = -27x + -18x2

Combine like terms: 18x2 + -18x2 = 0
-147a2x + 0 + 3x3 = -27x + -18x2
-147a2x + 3x3 = -27x + -18x2

Add '-3x3' to each side of the equation.
-147a2x + 3x3 + -3x3 = -27x + -18x2 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-147a2x + 0 = -27x + -18x2 + -3x3
-147a2x = -27x + -18x2 + -3x3

Divide each side by '-147x'.
a2 = 0.1836734694 + 0.1224489796x + 0.02040816327x2

Simplifying
a2 = 0.1836734694 + 0.1224489796x + 0.02040816327x2

Reorder the terms:
-0.1836734694 + a2 + -0.1224489796x + -0.02040816327x2 = 0.1836734694 + 0.1224489796x + 0.02040816327x2 + -0.1836734694 + -0.1224489796x + -0.02040816327x2

Reorder the terms:
-0.1836734694 + a2 + -0.1224489796x + -0.02040816327x2 = 0.1836734694 + -0.1836734694 + 0.1224489796x + -0.1224489796x + 0.02040816327x2 + -0.02040816327x2

Combine like terms: 0.1836734694 + -0.1836734694 = 0.0000000000
-0.1836734694 + a2 + -0.1224489796x + -0.02040816327x2 = 0.0000000000 + 0.1224489796x + -0.1224489796x + 0.02040816327x2 + -0.02040816327x2
-0.1836734694 + a2 + -0.1224489796x + -0.02040816327x2 = 0.1224489796x + -0.1224489796x + 0.02040816327x2 + -0.02040816327x2

Combine like terms: 0.1224489796x + -0.1224489796x = 0.0000000000
-0.1836734694 + a2 + -0.1224489796x + -0.02040816327x2 = 0.0000000000 + 0.02040816327x2 + -0.02040816327x2
-0.1836734694 + a2 + -0.1224489796x + -0.02040816327x2 = 0.02040816327x2 + -0.02040816327x2

Combine like terms: 0.02040816327x2 + -0.02040816327x2 = 0.00000000000
-0.1836734694 + a2 + -0.1224489796x + -0.02040816327x2 = 0.00000000000

The solution to this equation could not be determined.

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