(-7b+3)(-2b+5)=

Solution for (-7b+3)(-2b+5)= equation:

Simplifying
(-7b + 3)(-2b + 5) = 0

Reorder the terms:
(3 + -7b)(-2b + 5) = 0

Reorder the terms:
(3 + -7b)(5 + -2b) = 0

Multiply (3 + -7b) * (5 + -2b)
(3(5 + -2b) + -7b * (5 + -2b)) = 0
((5 * 3 + -2b * 3) + -7b * (5 + -2b)) = 0
((15 + -6b) + -7b * (5 + -2b)) = 0
(15 + -6b + (5 * -7b + -2b * -7b)) = 0
(15 + -6b + (-35b + 14b2)) = 0

Combine like terms: -6b + -35b = -41b
(15 + -41b + 14b2) = 0

Solving
15 + -41b + 14b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(3 + -7b)(5 + -2b) = 0

Subproblem 1
Set the factor '(3 + -7b)' equal to zero and attempt to solve:

Simplifying
3 + -7b = 0

Solving
3 + -7b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7b = 0 + -3
-7b = 0 + -3

Combine like terms: 0 + -3 = -3
-7b = -3

Divide each side by '-7'.
b = 0.4285714286

Simplifying
b = 0.4285714286
Subproblem 2
Set the factor '(5 + -2b)' equal to zero and attempt to solve:

Simplifying
5 + -2b = 0

Solving
5 + -2b = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2b = 0 + -5
-2b = 0 + -5

Combine like terms: 0 + -5 = -5
-2b = -5

Divide each side by '-2'.
b = 2.5

Simplifying
b = 2.5
Solution
b = {0.4285714286, 2.5}