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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