-10a^4b^2+15a^3b^3+25a^2b^4=0

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Solution for -10a^4b^2+15a^3b^3+25a^2b^4=0 equation: 


Simplifying
-10a4b2 + 15a3b3 + 25a2b4 = 0

Reorder the terms:
25a2b4 + 15a3b3 + -10a4b2 = 0

Solving
25a2b4 + 15a3b3 + -10a4b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a2b2'.
5a2b2(5b2 + 3ab + -2a2) = 0

Factor a trinomial.
5a2b2((5b + -2a)(b + a)) = 0

Ignore the factor 5.

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 '(5b + -2a)' equal to zero and attempt to solve:

Simplifying
5b + -2a = 0

Reorder the terms:
-2a + 5b = 0

Solving
-2a + 5b = 0

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

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

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

Divide each side by '-2'.
a = 2.5b

Simplifying
a = 2.5b

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

Simplifying
b + a = 0

Reorder the terms:
a + b = 0

Solving
a + b = 0

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

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

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

Simplifying
a = -1b
Solution
a = {2.5b, -1b}

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