7a(4+6a)=

Solution for 7a(4+6a)= equation:

Simplifying
7a(4 + 6a) = 0
(4 * 7a + 6a * 7a) = 0
(28a + 42a2) = 0

Solving
28a + 42a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '14a'.
14a(2 + 3a) = 0

Ignore the factor 14.
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 '(2 + 3a)' equal to zero and attempt to solve:

Simplifying
2 + 3a = 0

Solving
2 + 3a = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3a = 0 + -2
3a = 0 + -2

Combine like terms: 0 + -2 = -2
3a = -2

Divide each side by '3'.
a = -0.6666666667

Simplifying
a = -0.6666666667
Solution
a = {0, -0.6666666667}