(14ab^2+9b-2a)-(4ab^2+2a+5b)=

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Solution for (14ab^2+9b-2a)-(4ab^2+2a+5b)= equation: 


Simplifying
(14ab2 + 9b + -2a) + -1(4ab2 + 2a + 5b) = 0

Reorder the terms:
(-2a + 14ab2 + 9b) + -1(4ab2 + 2a + 5b) = 0

Remove parenthesis around (-2a + 14ab2 + 9b)
-2a + 14ab2 + 9b + -1(4ab2 + 2a + 5b) = 0

Reorder the terms:
-2a + 14ab2 + 9b + -1(2a + 4ab2 + 5b) = 0
-2a + 14ab2 + 9b + (2a * -1 + 4ab2 * -1 + 5b * -1) = 0
-2a + 14ab2 + 9b + (-2a + -4ab2 + -5b) = 0

Reorder the terms:
-2a + -2a + 14ab2 + -4ab2 + 9b + -5b = 0

Combine like terms: -2a + -2a = -4a
-4a + 14ab2 + -4ab2 + 9b + -5b = 0

Combine like terms: 14ab2 + -4ab2 = 10ab2
-4a + 10ab2 + 9b + -5b = 0

Combine like terms: 9b + -5b = 4b
-4a + 10ab2 + 4b = 0

Solving
-4a + 10ab2 + 4b = 0

Solving for variable 'a'.

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

Add '-4b' to each side of the equation.
-4a + 10ab2 + 4b + -4b = 0 + -4b

Combine like terms: 4b + -4b = 0
-4a + 10ab2 + 0 = 0 + -4b
-4a + 10ab2 = 0 + -4b
Remove the zero:
-4a + 10ab2 = -4b

Combine like terms: -4b + 4b = 0
-4a + 10ab2 + 4b = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2a + 5ab2 + 2b) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2a + 5ab2 + 2b)' equal to zero and attempt to solve:

Simplifying
-2a + 5ab2 + 2b = 0

Solving
-2a + 5ab2 + 2b = 0

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

Add '-2b' to each side of the equation.
-2a + 5ab2 + 2b + -2b = 0 + -2b

Combine like terms: 2b + -2b = 0
-2a + 5ab2 + 0 = 0 + -2b
-2a + 5ab2 = 0 + -2b
Remove the zero:
-2a + 5ab2 = -2b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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