6a(4-7a)=

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

Simplifying
6a(4 + -7a) = 0
(4 * 6a + -7a * 6a) = 0
(24a + -42a2) = 0

Solving
24a + -42a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a'.
6a(4 + -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 '(4 + -7a)' equal to zero and attempt to solve:

Simplifying
4 + -7a = 0

Solving
4 + -7a = 0

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

Add '-4' to each side of the equation.
4 + -4 + -7a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7a = 0 + -4
-7a = 0 + -4

Combine like terms: 0 + -4 = -4
-7a = -4

Divide each side by '-7'.
a = 0.5714285714

Simplifying
a = 0.5714285714
Solution
a = {0, 0.5714285714}