=2a^4b-7a^3b^3+2a^3b

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Solution for =2a^4b-7a^3b^3+2a^3b equation: 


Simplifying
0 = 2a4b + -7a3b3 + 2a3b

Reorder the terms:
0 = 2a3b + -7a3b3 + 2a4b

Solving
0 = 2a3b + -7a3b3 + 2a4b

Solving for variable 'a'.
Remove the zero:
-2a3b + 7a3b3 + -2a4b = 2a3b + -7a3b3 + 2a4b + -2a3b + 7a3b3 + -2a4b

Reorder the terms:
-2a3b + 7a3b3 + -2a4b = 2a3b + -2a3b + -7a3b3 + 7a3b3 + 2a4b + -2a4b

Combine like terms: 2a3b + -2a3b = 0
-2a3b + 7a3b3 + -2a4b = 0 + -7a3b3 + 7a3b3 + 2a4b + -2a4b
-2a3b + 7a3b3 + -2a4b = -7a3b3 + 7a3b3 + 2a4b + -2a4b

Combine like terms: -7a3b3 + 7a3b3 = 0
-2a3b + 7a3b3 + -2a4b = 0 + 2a4b + -2a4b
-2a3b + 7a3b3 + -2a4b = 2a4b + -2a4b

Combine like terms: 2a4b + -2a4b = 0
-2a3b + 7a3b3 + -2a4b = 0

Factor out the Greatest Common Factor (GCF), 'a3b'.
a3b(-2 + 7b2 + -2a) = 0


Subproblem 1
Set the factor 'a3b' equal to zero and attempt to solve:

Simplifying
a3b = 0

Solving
a3b = 0

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

Simplifying
a3b = 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 '(-2 + 7b2 + -2a)' equal to zero and attempt to solve:

Simplifying
-2 + 7b2 + -2a = 0

Reorder the terms:
-2 + -2a + 7b2 = 0

Solving
-2 + -2a + 7b2 = 0

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

Add '2' to each side of the equation.
-2 + -2a + 2 + 7b2 = 0 + 2

Reorder the terms:
-2 + 2 + -2a + 7b2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -2a + 7b2 = 0 + 2
-2a + 7b2 = 0 + 2

Combine like terms: 0 + 2 = 2
-2a + 7b2 = 2

Add '-7b2' to each side of the equation.
-2a + 7b2 + -7b2 = 2 + -7b2

Combine like terms: 7b2 + -7b2 = 0
-2a + 0 = 2 + -7b2
-2a = 2 + -7b2

Divide each side by '-2'.
a = -1 + 3.5b2

Simplifying
a = -1 + 3.5b2
Solution
a = {-1 + 3.5b2}

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