1=0.1408450704b-1(0-b)(0-7.1)

Solution for 1=0.1408450704b-1(0-b)(0-7.1) equation:

Simplifying
1 = 0.1408450704b + -1(0 + -1b)(0 + -7.1)
Remove the zero:
1 = 0.1408450704b + -1(-1b)(0 + -7.1)

Remove parenthesis around (-1b)
1 = 0.1408450704b + -1 * -1b(0 + -7.1)

Combine like terms: 0 + -7.1 = -7.1
1 = 0.1408450704b + -1 * -1b(-7.1)

Reorder the terms for easier multiplication:
1 = 0.1408450704b + -1 * -1 * -7.1b

Multiply -1 * -1
1 = 0.1408450704b + 1 * -7.1b

Multiply 1 * -7.1
1 = 0.1408450704b + -7.1b

Combine like terms: 0.1408450704b + -7.1b = -6.9591549296b
1 = -6.9591549296b

Solving
1 = -6.9591549296b

Solving for variable 'b'.

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

Add '6.9591549296b' to each side of the equation.
1 + 6.9591549296b = -6.9591549296b + 6.9591549296b

Combine like terms: -6.9591549296b + 6.9591549296b = 0.0000000000
1 + 6.9591549296b = 0.0000000000

Add '-1' to each side of the equation.
1 + -1 + 6.9591549296b = 0.0000000000 + -1

Combine like terms: 1 + -1 = 0
0 + 6.9591549296b = 0.0000000000 + -1
6.9591549296b = 0.0000000000 + -1

Combine like terms: 0.0000000000 + -1 = -1
6.9591549296b = -1

Divide each side by '6.9591549296'.
b = -0.1436956082

Simplifying
b = -0.1436956082