(2ab+2ab+2ab+2ab+2ab)(7ab+7ab)+(5ab+5ab)+1ab=

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Solution for (2ab+2ab+2ab+2ab+2ab)(7ab+7ab)+(5ab+5ab)+1ab= equation: 


Simplifying
(2ab + 2ab + 2ab + 2ab + 2ab)(7ab + 7ab) + (5ab + 5ab) + 1ab = 0

Combine like terms: 2ab + 2ab = 4ab
(4ab + 2ab + 2ab + 2ab)(7ab + 7ab) + (5ab + 5ab) + 1ab = 0

Combine like terms: 4ab + 2ab = 6ab
(6ab + 2ab + 2ab)(7ab + 7ab) + (5ab + 5ab) + 1ab = 0

Combine like terms: 6ab + 2ab = 8ab
(8ab + 2ab)(7ab + 7ab) + (5ab + 5ab) + 1ab = 0

Combine like terms: 8ab + 2ab = 10ab
(10ab)(7ab + 7ab) + (5ab + 5ab) + 1ab = 0

Remove parenthesis around (10ab)
10ab(7ab + 7ab) + (5ab + 5ab) + 1ab = 0

Combine like terms: 7ab + 7ab = 14ab
10ab(14ab) + (5ab + 5ab) + 1ab = 0

Remove parenthesis around (14ab)
10ab * 14ab + (5ab + 5ab) + 1ab = 0

Reorder the terms for easier multiplication:
10 * 14ab * ab + (5ab + 5ab) + 1ab = 0

Multiply 10 * 14
140ab * ab + (5ab + 5ab) + 1ab = 0

Multiply ab * ab
140a2b2 + (5ab + 5ab) + 1ab = 0

Combine like terms: 5ab + 5ab = 10ab
140a2b2 + (10ab) + 1ab = 0
140a2b2 + (10ab) + 1ab = 0

Reorder the terms:
(10ab) + 1ab + 140a2b2 = 0

Combine like terms: (10ab) + 1ab = 11ab
11ab + 140a2b2 = 0

Solving
11ab + 140a2b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ab'.
ab(11 + 140ab) = 0


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 '(11 + 140ab)' equal to zero and attempt to solve:

Simplifying
11 + 140ab = 0

Solving
11 + 140ab = 0

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

Add '-11' to each side of the equation.
11 + -11 + 140ab = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 140ab = 0 + -11
140ab = 0 + -11

Combine like terms: 0 + -11 = -11
140ab = -11

Divide each side by '140b'.
a = -0.07857142857b-1

Simplifying
a = -0.07857142857b-1
Solution
a = {-0.07857142857b-1}

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