(5a-2b)(5a-2b)=

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


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

Multiply (5a + -2b) * (5a + -2b)
(5a * (5a + -2b) + -2b * (5a + -2b)) = 0
((5a * 5a + -2b * 5a) + -2b * (5a + -2b)) = 0

Reorder the terms:
((-10ab + 25a2) + -2b * (5a + -2b)) = 0
((-10ab + 25a2) + -2b * (5a + -2b)) = 0
(-10ab + 25a2 + (5a * -2b + -2b * -2b)) = 0
(-10ab + 25a2 + (-10ab + 4b2)) = 0

Reorder the terms:
(-10ab + -10ab + 25a2 + 4b2) = 0

Combine like terms: -10ab + -10ab = -20ab
(-20ab + 25a2 + 4b2) = 0

Solving
-20ab + 25a2 + 4b2 = 0

Solving for variable 'a'.

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


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

Simplifying
5a + -2b = 0

Solving
5a + -2b = 0

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

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

Combine like terms: -2b + 2b = 0
5a + 0 = 0 + 2b
5a = 0 + 2b
Remove the zero:
5a = 2b

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

Simplifying
a = 0.4b

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

Simplifying
5a + -2b = 0

Solving
5a + -2b = 0

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

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

Combine like terms: -2b + 2b = 0
5a + 0 = 0 + 2b
5a = 0 + 2b
Remove the zero:
5a = 2b

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

Simplifying
a = 0.4b
Solution
a = {0.4b, 0.4b}

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