2a(5a-2)=0

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Solution for 2a(5a-2)=0 equation: 


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

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

Solving
-4a + 10a2 = 0

Solving for variable 'a'.

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

Ignore the factor 2.

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 '(-2 + 5a)' equal to zero and attempt to solve:

Simplifying
-2 + 5a = 0

Solving
-2 + 5a = 0

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

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

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

Combine like terms: 0 + 2 = 2
5a = 2

Divide each side by '5'.
a = 0.4

Simplifying
a = 0.4
Solution
a = {0, 0.4}

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