-7a(4a-1)-3a=a

Solution for -7a(4a-1)-3a=a equation:

Simplifying
-7a(4a + -1) + -3a = a

Reorder the terms:
-7a(-1 + 4a) + -3a = a
(-1 * -7a + 4a * -7a) + -3a = a
(7a + -28a2) + -3a = a

Reorder the terms:
7a + -3a + -28a2 = a

Combine like terms: 7a + -3a = 4a
4a + -28a2 = a

Solving
4a + -28a2 = a

Solving for variable 'a'.

Reorder the terms:
4a + -1a + -28a2 = a + -1a

Combine like terms: 4a + -1a = 3a
3a + -28a2 = a + -1a

Combine like terms: a + -1a = 0
3a + -28a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(3 + -28a) = 0

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 '(3 + -28a)' equal to zero and attempt to solve:

Simplifying
3 + -28a = 0

Solving
3 + -28a = 0

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

Add '-3' to each side of the equation.
3 + -3 + -28a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -28a = 0 + -3
-28a = 0 + -3

Combine like terms: 0 + -3 = -3
-28a = -3

Divide each side by '-28'.
a = 0.1071428571

Simplifying
a = 0.1071428571
Solution
a = {0, 0.1071428571}