11a^4b^3=44a^2b^5

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Solution for 11a^4b^3=44a^2b^5 equation: 


Simplifying
11a4b3 = 44a2b5

Solving
11a4b3 = 44a2b5

Solving for variable 'a'.

Reorder the terms:
-44a2b5 + 11a4b3 = 44a2b5 + -44a2b5

Combine like terms: 44a2b5 + -44a2b5 = 0
-44a2b5 + 11a4b3 = 0

Factor out the Greatest Common Factor (GCF), '11a2b3'.
11a2b3(-4b2 + a2) = 0

Factor a difference between two squares.
11a2b3((2b + a)(-2b + a)) = 0

Ignore the factor 11.

Subproblem 1
Set the factor 'a2b3' equal to zero and attempt to solve:

Simplifying
a2b3 = 0

Solving
a2b3 = 0

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

Simplifying
a2b3 = 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 '(2b + a)' equal to zero and attempt to solve:

Simplifying
2b + a = 0

Reorder the terms:
a + 2b = 0

Solving
a + 2b = 0

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

Add '-2b' to each side of the equation.
a + 2b + -2b = 0 + -2b

Combine like terms: 2b + -2b = 0
a + 0 = 0 + -2b
a = 0 + -2b
Remove the zero:
a = -2b

Simplifying
a = -2b

Subproblem 3
Set the factor '(-2b + a)' equal to zero and attempt to solve:

Simplifying
-2b + a = 0

Reorder the terms:
a + -2b = 0

Solving
a + -2b = 0

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

Add '2b' to each side of the equation.
a + -2b + 2b = 0 + 2b

Combine like terms: -2b + 2b = 0
a + 0 = 0 + 2b
a = 0 + 2b
Remove the zero:
a = 2b

Simplifying
a = 2b
Solution
a = {-2b, 2b}

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