25a^2-20ab^3+4b^6=0

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Solution for 25a^2-20ab^3+4b^6=0 equation: 


Simplifying
25a2 + -20ab3 + 4b6 = 0

Reorder the terms:
-20ab3 + 25a2 + 4b6 = 0

Solving
-20ab3 + 25a2 + 4b6 = 0

Solving for variable 'a'.

Factor a trinomial.
(5a + -2b3)(5a + -2b3) = 0


Subproblem 1
Set the factor '(5a + -2b3)' equal to zero and attempt to solve:

Simplifying
5a + -2b3 = 0

Solving
5a + -2b3 = 0

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

Add '2b3' to each side of the equation.
5a + -2b3 + 2b3 = 0 + 2b3

Combine like terms: -2b3 + 2b3 = 0
5a + 0 = 0 + 2b3
5a = 0 + 2b3
Remove the zero:
5a = 2b3

Divide each side by '5'.
a = 0.4b3

Simplifying
a = 0.4b3

Subproblem 2
Set the factor '(5a + -2b3)' equal to zero and attempt to solve:

Simplifying
5a + -2b3 = 0

Solving
5a + -2b3 = 0

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

Add '2b3' to each side of the equation.
5a + -2b3 + 2b3 = 0 + 2b3

Combine like terms: -2b3 + 2b3 = 0
5a + 0 = 0 + 2b3
5a = 0 + 2b3
Remove the zero:
5a = 2b3

Divide each side by '5'.
a = 0.4b3

Simplifying
a = 0.4b3
Solution
a = {0.4b3, 0.4b3}

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