(-4b+5)*(4b-3)=

Solution for (-4b+5)*(4b-3)= equation:

Simplifying
(-4b + 5)(4b + -3) = 0

Reorder the terms:
(5 + -4b)(4b + -3) = 0

Reorder the terms:
(5 + -4b)(-3 + 4b) = 0

Multiply (5 + -4b) * (-3 + 4b)
(5(-3 + 4b) + -4b * (-3 + 4b)) = 0
((-3 * 5 + 4b * 5) + -4b * (-3 + 4b)) = 0
((-15 + 20b) + -4b * (-3 + 4b)) = 0
(-15 + 20b + (-3 * -4b + 4b * -4b)) = 0
(-15 + 20b + (12b + -16b2)) = 0

Combine like terms: 20b + 12b = 32b
(-15 + 32b + -16b2) = 0

Solving
-15 + 32b + -16b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-5 + 4b)(3 + -4b) = 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 '(3 + -4b)' equal to zero and attempt to solve:

Simplifying
3 + -4b = 0

Solving
3 + -4b = 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 + -4b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4b = 0 + -3
-4b = 0 + -3

Combine like terms: 0 + -3 = -3
-4b = -3

Divide each side by '-4'.
b = 0.75

Simplifying
b = 0.75
Solution
b = {1.25, 0.75}