(-5b+7)(-4b+5)=

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Solution for (-5b+7)(-4b+5)= equation: 


Simplifying
(-5b + 7)(-4b + 5) = 0

Reorder the terms:
(7 + -5b)(-4b + 5) = 0

Reorder the terms:
(7 + -5b)(5 + -4b) = 0

Multiply (7 + -5b) * (5 + -4b)
(7(5 + -4b) + -5b * (5 + -4b)) = 0
((5 * 7 + -4b * 7) + -5b * (5 + -4b)) = 0
((35 + -28b) + -5b * (5 + -4b)) = 0
(35 + -28b + (5 * -5b + -4b * -5b)) = 0
(35 + -28b + (-25b + 20b2)) = 0

Combine like terms: -28b + -25b = -53b
(35 + -53b + 20b2) = 0

Solving
35 + -53b + 20b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(5 + -4b)(7 + -5b) = 0


Subproblem 1
Set the factor '(5 + -4b)' equal to zero and attempt to solve:

Simplifying
5 + -4b = 0

Solving
5 + -4b = 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 + -4b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4b = 0 + -5
-4b = 0 + -5

Combine like terms: 0 + -5 = -5
-4b = -5

Divide each side by '-4'.
b = 1.25

Simplifying
b = 1.25

Subproblem 2
Set the factor '(7 + -5b)' equal to zero and attempt to solve:

Simplifying
7 + -5b = 0

Solving
7 + -5b = 0

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

Add '-7' to each side of the equation.
7 + -7 + -5b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5b = 0 + -7
-5b = 0 + -7

Combine like terms: 0 + -7 = -7
-5b = -7

Divide each side by '-5'.
b = 1.4

Simplifying
b = 1.4
Solution
b = {1.25, 1.4}

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