40a^3b^2+45a^2b^6=

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Solution for 40a^3b^2+45a^2b^6= equation: 


Simplifying
40a3b2 + 45a2b6 = 0

Reorder the terms:
45a2b6 + 40a3b2 = 0

Solving
45a2b6 + 40a3b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a2b2'.
5a2b2(9b4 + 8a) = 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 '(9b4 + 8a)' equal to zero and attempt to solve:

Simplifying
9b4 + 8a = 0

Reorder the terms:
8a + 9b4 = 0

Solving
8a + 9b4 = 0

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

Add '-9b4' to each side of the equation.
8a + 9b4 + -9b4 = 0 + -9b4

Combine like terms: 9b4 + -9b4 = 0
8a + 0 = 0 + -9b4
8a = 0 + -9b4
Remove the zero:
8a = -9b4

Divide each side by '8'.
a = -1.125b4

Simplifying
a = -1.125b4
Solution
a = {-1.125b4}

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