18a^2b+39a^2b+-17ab^2+-11a^2b+53ab^2=

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Solution for 18a^2b+39a^2b+-17ab^2+-11a^2b+53ab^2= equation: 


Simplifying
18a2b + 39a2b + -17ab2 + -11a2b + 53ab2 = 0

Reorder the terms:
-17ab2 + 53ab2 + 18a2b + 39a2b + -11a2b = 0

Combine like terms: -17ab2 + 53ab2 = 36ab2
36ab2 + 18a2b + 39a2b + -11a2b = 0

Combine like terms: 18a2b + 39a2b = 57a2b
36ab2 + 57a2b + -11a2b = 0

Combine like terms: 57a2b + -11a2b = 46a2b
36ab2 + 46a2b = 0

Solving
36ab2 + 46a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2ab'.
2ab(18b + 23a) = 0

Ignore the factor 2.

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

Simplifying
ab = 0

Solving
ab = 0

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

Simplifying
ab = 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 '(18b + 23a)' equal to zero and attempt to solve:

Simplifying
18b + 23a = 0

Reorder the terms:
23a + 18b = 0

Solving
23a + 18b = 0

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

Add '-18b' to each side of the equation.
23a + 18b + -18b = 0 + -18b

Combine like terms: 18b + -18b = 0
23a + 0 = 0 + -18b
23a = 0 + -18b
Remove the zero:
23a = -18b

Divide each side by '23'.
a = -0.7826086957b

Simplifying
a = -0.7826086957b
Solution
a = {-0.7826086957b}

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