3a(10a+7)=0

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Solution for 3a(10a+7)=0 equation: 


Simplifying
3a(10a + 7) = 0

Reorder the terms:
3a(7 + 10a) = 0
(7 * 3a + 10a * 3a) = 0
(21a + 30a2) = 0

Solving
21a + 30a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(7 + 10a) = 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 + 10a)' equal to zero and attempt to solve:

Simplifying
7 + 10a = 0

Solving
7 + 10a = 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 + 10a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 10a = 0 + -7
10a = 0 + -7

Combine like terms: 0 + -7 = -7
10a = -7

Divide each side by '10'.
a = -0.7

Simplifying
a = -0.7
Solution
a = {0, -0.7}

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