6a^4b^2-11a^3b^3+4a^2b^4=0

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Solution for 6a^4b^2-11a^3b^3+4a^2b^4=0 equation: 


Simplifying
6a4b2 + -11a3b3 + 4a2b4 = 0

Reorder the terms:
4a2b4 + -11a3b3 + 6a4b2 = 0

Solving
4a2b4 + -11a3b3 + 6a4b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2b2'.
a2b2(4b2 + -11ab + 6a2) = 0

Factor a trinomial.
a2b2((b + -2a)(4b + -3a)) = 0


Subproblem 1
Set the factor 'a2b2' equal to zero and attempt to solve:

Simplifying
a2b2 = 0

Solving
a2b2 = 0

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

Simplifying
a2b2 = 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 '(b + -2a)' equal to zero and attempt to solve:

Simplifying
b + -2a = 0

Reorder the terms:
-2a + b = 0

Solving
-2a + b = 0

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

Add '-1b' to each side of the equation.
-2a + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
-2a + 0 = 0 + -1b
-2a = 0 + -1b
Remove the zero:
-2a = -1b

Divide each side by '-2'.
a = 0.5b

Simplifying
a = 0.5b

Subproblem 3
Set the factor '(4b + -3a)' equal to zero and attempt to solve:

Simplifying
4b + -3a = 0

Reorder the terms:
-3a + 4b = 0

Solving
-3a + 4b = 0

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

Add '-4b' to each side of the equation.
-3a + 4b + -4b = 0 + -4b

Combine like terms: 4b + -4b = 0
-3a + 0 = 0 + -4b
-3a = 0 + -4b
Remove the zero:
-3a = -4b

Divide each side by '-3'.
a = 1.333333333b

Simplifying
a = 1.333333333b
Solution
a = {0.5b, 1.333333333b}

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