(-b+4)(7b+1)=

Solution for (-b+4)(7b+1)= equation:

Simplifying
(-1b + 4)(7b + 1) = 0

Reorder the terms:
(4 + -1b)(7b + 1) = 0

Reorder the terms:
(4 + -1b)(1 + 7b) = 0

Multiply (4 + -1b) * (1 + 7b)
(4(1 + 7b) + -1b * (1 + 7b)) = 0
((1 * 4 + 7b * 4) + -1b * (1 + 7b)) = 0
((4 + 28b) + -1b * (1 + 7b)) = 0
(4 + 28b + (1 * -1b + 7b * -1b)) = 0
(4 + 28b + (-1b + -7b2)) = 0

Combine like terms: 28b + -1b = 27b
(4 + 27b + -7b2) = 0

Solving
4 + 27b + -7b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(4 + -1b)(1 + 7b) = 0

Subproblem 1
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Subproblem 2
Set the factor '(1 + 7b)' equal to zero and attempt to solve:

Simplifying
1 + 7b = 0

Solving
1 + 7b = 0

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

Add '-1' to each side of the equation.
1 + -1 + 7b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7b = 0 + -1
7b = 0 + -1

Combine like terms: 0 + -1 = -1
7b = -1

Divide each side by '7'.
b = -0.1428571429

Simplifying
b = -0.1428571429
Solution
b = {4, -0.1428571429}