-5a(b-2c)=

Solution for -5a(b-2c)= equation:

Simplifying
-5a(b + -2c) = 0
(b * -5a + -2c * -5a) = 0
(-5ab + 10ac) = 0

Solving
-5ab + 10ac = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '5a'.
5a(-1b + 2c) = 0

Ignore the factor 5.
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 '(-1b + 2c)' equal to zero and attempt to solve:

Simplifying
-1b + 2c = 0

Solving
-1b + 2c = 0

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

Add 'b' to each side of the equation.
-1b + b + 2c = 0 + b

Combine like terms: -1b + b = 0
0 + 2c = 0 + b
2c = 0 + b
Remove the zero:
2c = b

Add '-2c' to each side of the equation.
2c + -2c = b + -2c

Combine like terms: 2c + -2c = 0
0 = b + -2c

Simplifying
0 = b + -2c

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}