5a(7a+6)=

Solution for 5a(7a+6)= equation:

Simplifying
5a(7a + 6) = 0

Reorder the terms:
5a(6 + 7a) = 0
(6 * 5a + 7a * 5a) = 0
(30a + 35a2) = 0

Solving
30a + 35a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a'.
5a(6 + 7a) = 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 '(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}