3a(2a-7)=0

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Solution for 3a(2a-7)=0 equation: 


Simplifying
3a(2a + -7) = 0

Reorder the terms:
3a(-7 + 2a) = 0
(-7 * 3a + 2a * 3a) = 0
(-21a + 6a2) = 0

Solving
-21a + 6a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(-7 + 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 '(-7 + 2a)' equal to zero and attempt to solve:

Simplifying
-7 + 2a = 0

Solving
-7 + 2a = 0

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

Add '7' to each side of the equation.
-7 + 7 + 2a = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2a = 0 + 7
2a = 0 + 7

Combine like terms: 0 + 7 = 7
2a = 7

Divide each side by '2'.
a = 3.5

Simplifying
a = 3.5
Solution
a = {0, 3.5}

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