5a(2a-5)=0

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


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

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

Solving
-25a + 10a2 = 0

Solving for variable 'a'.

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

Ignore the factor 5.

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

Simplifying
-5 + 2a = 0

Solving
-5 + 2a = 0

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

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

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

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

Divide each side by '2'.
a = 2.5

Simplifying
a = 2.5
Solution
a = {0, 2.5}

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