(b+35)(b-40)=0

Solution for (b+35)(b-40)=0 equation:

Simplifying
(b + 35)(b + -40) = 0

Reorder the terms:
(35 + b)(b + -40) = 0

Reorder the terms:
(35 + b)(-40 + b) = 0

Multiply (35 + b) * (-40 + b)
(35(-40 + b) + b(-40 + b)) = 0
((-40 * 35 + b * 35) + b(-40 + b)) = 0
((-1400 + 35b) + b(-40 + b)) = 0
(-1400 + 35b + (-40 * b + b * b)) = 0
(-1400 + 35b + (-40b + b2)) = 0

Combine like terms: 35b + -40b = -5b
(-1400 + -5b + b2) = 0

Solving
-1400 + -5b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-35 + -1b)(40 + -1b) = 0

Subproblem 1
Set the factor '(-35 + -1b)' equal to zero and attempt to solve:

Simplifying
-35 + -1b = 0

Solving
-35 + -1b = 0

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

Add '35' to each side of the equation.
-35 + 35 + -1b = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -1b = 0 + 35
-1b = 0 + 35

Combine like terms: 0 + 35 = 35
-1b = 35

Divide each side by '-1'.
b = -35

Simplifying
b = -35
Subproblem 2
Set the factor '(40 + -1b)' equal to zero and attempt to solve:

Simplifying
40 + -1b = 0

Solving
40 + -1b = 0

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

Add '-40' to each side of the equation.
40 + -40 + -1b = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -1b = 0 + -40
-1b = 0 + -40

Combine like terms: 0 + -40 = -40
-1b = -40

Divide each side by '-1'.
b = 40

Simplifying
b = 40
Solution
b = {-35, 40}