8a(5a-2b)=

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Solution for 8a(5a-2b)= equation: 


Simplifying
8a(5a + -2b) = 0
(5a * 8a + -2b * 8a) = 0

Reorder the terms:
(-16ab + 40a2) = 0
(-16ab + 40a2) = 0

Solving
-16ab + 40a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8a'.
8a(-2b + 5a) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

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

Simplifying
-2b + 5a = 0

Reorder the terms:
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, 0.4b}

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