4a(2a-5b)=0

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


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

Reorder the terms:
(-20ab + 8a2) = 0
(-20ab + 8a2) = 0

Solving
-20ab + 8a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-5b + 2a) = 0

Ignore the factor 4.

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

Simplifying
-5b + 2a = 0

Reorder the terms:
2a + -5b = 0

Solving
2a + -5b = 0

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

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

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

Divide each side by '2'.
a = 2.5b

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

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