1=a(0-b)(0-7.1)

Solution for 1=a(0-b)(0-7.1) equation:

Simplifying
1 = a(0 + -1b)(0 + -7.1)
Remove the zero:
1 = a(-1b)(0 + -7.1)

Remove parenthesis around (-1b)
1 = a * -1b(0 + -7.1)

Combine like terms: 0 + -7.1 = -7.1
1 = a * -1b(-7.1)

Reorder the terms for easier multiplication:
1 = -1 * -7.1a * b

Multiply -1 * -7.1
1 = 7.1a * b

Multiply a * b
1 = 7.1ab

Solving
1 = 7.1ab

Solving for variable 'a'.

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

Add '-7.1ab' to each side of the equation.
1 + -7.1ab = 7.1ab + -7.1ab

Combine like terms: 7.1ab + -7.1ab = 0.0
1 + -7.1ab = 0.0

Add '-1' to each side of the equation.
1 + -1 + -7.1ab = 0.0 + -1

Combine like terms: 1 + -1 = 0
0 + -7.1ab = 0.0 + -1
-7.1ab = 0.0 + -1

Combine like terms: 0.0 + -1 = -1
-7.1ab = -1

Divide each side by '-7.1b'.
a = 0.1408450704b-1

Simplifying
a = 0.1408450704b-1