11ab^2c^3-55a^3b^2c=0

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Solution for 11ab^2c^3-55a^3b^2c=0 equation: 


Simplifying
11ab2c3 + -55a3b2c = 0

Solving
11ab2c3 + -55a3b2c = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '11ab2c'.
11ab2c(c2 + -5a2) = 0

Ignore the factor 11.

Subproblem 1
Set the factor 'ab2c' equal to zero and attempt to solve:

Simplifying
ab2c = 0

Solving
ab2c = 0

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

Simplifying
ab2c = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(c2 + -5a2)' equal to zero and attempt to solve:

Simplifying
c2 + -5a2 = 0

Reorder the terms:
-5a2 + c2 = 0

Solving
-5a2 + c2 = 0

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

Add '-1c2' to each side of the equation.
-5a2 + c2 + -1c2 = 0 + -1c2

Combine like terms: c2 + -1c2 = 0
-5a2 + 0 = 0 + -1c2
-5a2 = 0 + -1c2
Remove the zero:
-5a2 = -1c2

Divide each side by '-5'.
a2 = 0.2c2

Simplifying
a2 = 0.2c2

Take the square root of each side:
a = {-0.447213596c, 0.447213596c}
Solution
a = {-0.447213596c, 0.447213596c}

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