(-a-7b+5)3a=

Solution for (-a-7b+5)3a= equation:

Simplifying
(-1a + -7b + 5) * 3a = 0

Reorder the terms:
(5 + -1a + -7b) * 3a = 0

Reorder the terms for easier multiplication:
3a(5 + -1a + -7b) = 0
(5 * 3a + -1a * 3a + -7b * 3a) = 0

Reorder the terms:
(15a + -21ab + -3a2) = 0
(15a + -21ab + -3a2) = 0

Solving
15a + -21ab + -3a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(5 + -7b + -1a) = 0

Ignore the factor 3.
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 '(5 + -7b + -1a)' equal to zero and attempt to solve:

Simplifying
5 + -7b + -1a = 0

Reorder the terms:
5 + -1a + -7b = 0

Solving
5 + -1a + -7b = 0

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

Add '-5' to each side of the equation.
5 + -1a + -5 + -7b = 0 + -5

Reorder the terms:
5 + -5 + -1a + -7b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1a + -7b = 0 + -5
-1a + -7b = 0 + -5

Combine like terms: 0 + -5 = -5
-1a + -7b = -5

Add '7b' to each side of the equation.
-1a + -7b + 7b = -5 + 7b

Combine like terms: -7b + 7b = 0
-1a + 0 = -5 + 7b
-1a = -5 + 7b

Divide each side by '-1'.
a = 5 + -7b

Simplifying
a = 5 + -7b
Solution
a = {0, 5 + -7b}