(4b-2)(5b-4)=

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Solution for (4b-2)(5b-4)= equation: 


Simplifying
(4b + -2)(5b + -4) = 0

Reorder the terms:
(-2 + 4b)(5b + -4) = 0

Reorder the terms:
(-2 + 4b)(-4 + 5b) = 0

Multiply (-2 + 4b) * (-4 + 5b)
(-2(-4 + 5b) + 4b * (-4 + 5b)) = 0
((-4 * -2 + 5b * -2) + 4b * (-4 + 5b)) = 0
((8 + -10b) + 4b * (-4 + 5b)) = 0
(8 + -10b + (-4 * 4b + 5b * 4b)) = 0
(8 + -10b + (-16b + 20b2)) = 0

Combine like terms: -10b + -16b = -26b
(8 + -26b + 20b2) = 0

Solving
8 + -26b + 20b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -13b + 10b2) = 0

Factor a trinomial.
2((1 + -2b)(4 + -5b)) = 0

Ignore the factor 2.

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

Simplifying
1 + -2b = 0

Solving
1 + -2b = 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 + -2b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2b = 0 + -1
-2b = 0 + -1

Combine like terms: 0 + -1 = -1
-2b = -1

Divide each side by '-2'.
b = 0.5

Simplifying
b = 0.5

Subproblem 2
Set the factor '(4 + -5b)' equal to zero and attempt to solve:

Simplifying
4 + -5b = 0

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

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

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

Divide each side by '-5'.
b = 0.8

Simplifying
b = 0.8
Solution
b = {0.5, 0.8}

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