2a(4a-5)=0

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

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

Reorder the terms:
2a(-5 + 4a) = 0
(-5 * 2a + 4a * 2a) = 0
(-10a + 8a2) = 0

Solving
-10a + 8a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-5 + 4a) = 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 '(-5 + 4a)' equal to zero and attempt to solve:

Simplifying
-5 + 4a = 0

Solving
-5 + 4a = 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 + 4a = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4a = 0 + 5
4a = 0 + 5

Combine like terms: 0 + 5 = 5
4a = 5

Divide each side by '4'.
a = 1.25

Simplifying
a = 1.25
Solution
a = {0, 1.25}