a(-2a-7b)=

Solution for a(-2a-7b)= equation:

Simplifying
a(-2a + -7b) = 0
(-2a * a + -7b * a) = 0

Reorder the terms:
(-7ab + -2a2) = 0
(-7ab + -2a2) = 0

Solving
-7ab + -2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-1a'.
-1a(7b + 2a) = 0

Ignore the factor -1.
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 '(7b + 2a)' equal to zero and attempt to solve:

Simplifying
7b + 2a = 0

Reorder the terms:
2a + 7b = 0

Solving
2a + 7b = 0

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

Add '-7b' to each side of the equation.
2a + 7b + -7b = 0 + -7b

Combine like terms: 7b + -7b = 0
2a + 0 = 0 + -7b
2a = 0 + -7b
Remove the zero:
2a = -7b

Divide each side by '2'.
a = -3.5b

Simplifying
a = -3.5b
Solution
a = {0, -3.5b}