6a(7a-6)=0

Solution for 6a(7a-6)=0 equation:

Simplifying
6a(7a + -6) = 0

Reorder the terms:
6a(-6 + 7a) = 0
(-6 * 6a + 7a * 6a) = 0
(-36a + 42a2) = 0

Solving
-36a + 42a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a'.
6a(-6 + 7a) = 0

Ignore the factor 6.
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 '(-6 + 7a)' equal to zero and attempt to solve:

Simplifying
-6 + 7a = 0

Solving
-6 + 7a = 0

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

Add '6' to each side of the equation.
-6 + 6 + 7a = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7a = 0 + 6
7a = 0 + 6

Combine like terms: 0 + 6 = 6
7a = 6

Divide each side by '7'.
a = 0.8571428571

Simplifying
a = 0.8571428571
Solution
a = {0, 0.8571428571}