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

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Solution for (5b-2)(5b-4)=0 equation: 


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

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

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

Multiply (-2 + 5b) * (-4 + 5b)
(-2(-4 + 5b) + 5b * (-4 + 5b)) = 0
((-4 * -2 + 5b * -2) + 5b * (-4 + 5b)) = 0
((8 + -10b) + 5b * (-4 + 5b)) = 0
(8 + -10b + (-4 * 5b + 5b * 5b)) = 0
(8 + -10b + (-20b + 25b2)) = 0

Combine like terms: -10b + -20b = -30b
(8 + -30b + 25b2) = 0

Solving
8 + -30b + 25b2 = 0

Solving for variable 'b'.

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


Subproblem 1
Set the factor '(2 + -5b)' equal to zero and attempt to solve:

Simplifying
2 + -5b = 0

Solving
2 + -5b = 0

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

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

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

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

Divide each side by '-5'.
b = 0.4

Simplifying
b = 0.4

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 = {0.4, 0.8}

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