3a(2a-25)=

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Solution for 3a(2a-25)= equation:


Simplifying
3a(2a + -25) = 0

Reorder the terms:
3a(-25 + 2a) = 0
(-25 * 3a + 2a * 3a) = 0
(-75a + 6a2) = 0

Solving
-75a + 6a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(-25 + 2a) = 0

Ignore the factor 3.

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 '(-25 + 2a)' equal to zero and attempt to solve:

Simplifying
-25 + 2a = 0

Solving
-25 + 2a = 0

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

Add '25' to each side of the equation.
-25 + 25 + 2a = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 2a = 0 + 25
2a = 0 + 25

Combine like terms: 0 + 25 = 25
2a = 25

Divide each side by '2'.
a = 12.5

Simplifying
a = 12.5
Solution
a = {0, 12.5}

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