7a*b-10ab*-7a*b=

Solution for 7a*b-10ab*-7a*b= equation:

Simplifying
7a * b + -10ab * -7a * b = 0

Multiply a * b
7ab + -10ab * -7a * b = 0

Reorder the terms for easier multiplication:
7ab + -10 * -7ab * a * b = 0

Multiply -10 * -7
7ab + 70ab * a * b = 0

Multiply ab * a
7ab + 70a2b * b = 0

Multiply a2b * b
7ab + 70a2b2 = 0

Solving
7ab + 70a2b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '7ab'.
7ab(1 + 10ab) = 0

Ignore the factor 7.
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 '(1 + 10ab)' equal to zero and attempt to solve:

Simplifying
1 + 10ab = 0

Solving
1 + 10ab = 0

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

Add '-1' to each side of the equation.
1 + -1 + 10ab = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 10ab = 0 + -1
10ab = 0 + -1

Combine like terms: 0 + -1 = -1
10ab = -1

Divide each side by '10b'.
a = -0.1b-1

Simplifying
a = -0.1b-1
Solution
a = {-0.1b-1}