15a^3b+10a^2b^2=0

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


Simplifying
15a3b + 10a2b2 = 0

Reorder the terms:
10a2b2 + 15a3b = 0

Solving
10a2b2 + 15a3b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a2b'.
5a2b(2b + 3a) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'a2b' equal to zero and attempt to solve:

Simplifying
a2b = 0

Solving
a2b = 0

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

Simplifying
a2b = 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 + 3a)' equal to zero and attempt to solve:

Simplifying
2b + 3a = 0

Reorder the terms:
3a + 2b = 0

Solving
3a + 2b = 0

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

Add '-2b' to each side of the equation.
3a + 2b + -2b = 0 + -2b

Combine like terms: 2b + -2b = 0
3a + 0 = 0 + -2b
3a = 0 + -2b
Remove the zero:
3a = -2b

Divide each side by '3'.
a = -0.6666666667b

Simplifying
a = -0.6666666667b
Solution
a = {-0.6666666667b}

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