25a^2b^5+5ab^2=10ab^5

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Solution for 25a^2b^5+5ab^2=10ab^5 equation: 


Simplifying
25a2b5 + 5ab2 = 10ab5

Reorder the terms:
5ab2 + 25a2b5 = 10ab5

Solving
5ab2 + 25a2b5 = 10ab5

Solving for variable 'a'.

Reorder the terms:
5ab2 + -10ab5 + 25a2b5 = 10ab5 + -10ab5

Combine like terms: 10ab5 + -10ab5 = 0
5ab2 + -10ab5 + 25a2b5 = 0

Factor out the Greatest Common Factor (GCF), '5ab2'.
5ab2(1 + -2b3 + 5ab3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'ab2' equal to zero and attempt to solve:

Simplifying
ab2 = 0

Solving
ab2 = 0

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

Simplifying
ab2 = 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 '(1 + -2b3 + 5ab3)' equal to zero and attempt to solve:

Simplifying
1 + -2b3 + 5ab3 = 0

Reorder the terms:
1 + 5ab3 + -2b3 = 0

Solving
1 + 5ab3 + -2b3 = 0

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

Add '-1' to each side of the equation.
1 + 5ab3 + -1 + -2b3 = 0 + -1

Reorder the terms:
1 + -1 + 5ab3 + -2b3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5ab3 + -2b3 = 0 + -1
5ab3 + -2b3 = 0 + -1

Combine like terms: 0 + -1 = -1
5ab3 + -2b3 = -1

Add '2b3' to each side of the equation.
5ab3 + -2b3 + 2b3 = -1 + 2b3

Combine like terms: -2b3 + 2b3 = 0
5ab3 + 0 = -1 + 2b3
5ab3 = -1 + 2b3

Divide each side by '5b3'.
a = -0.2b-3 + 0.4

Simplifying
a = -0.2b-3 + 0.4

Reorder the terms:
a = 0.4 + -0.2b-3
Solution
a = {0.4 + -0.2b-3}

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