2ab-4ac+10a=

Solution for 2ab-4ac+10a= equation:

Simplifying
2ab + -4ac + 10a = 0

Reorder the terms:
10a + 2ab + -4ac = 0

Solving
10a + 2ab + -4ac = 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), '2a'.
2a(5 + b + -2c) = 0

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

Simplifying
5 + b + -2c = 0

Solving
5 + b + -2c = 0

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

Add '-5' to each side of the equation.
5 + b + -5 + -2c = 0 + -5

Reorder the terms:
5 + -5 + b + -2c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + b + -2c = 0 + -5
b + -2c = 0 + -5

Combine like terms: 0 + -5 = -5
b + -2c = -5

Add '-1b' to each side of the equation.
b + -1b + -2c = -5 + -1b

Combine like terms: b + -1b = 0
0 + -2c = -5 + -1b
-2c = -5 + -1b

Add '2c' to each side of the equation.
-2c + 2c = -5 + -1b + 2c

Combine like terms: -2c + 2c = 0
0 = -5 + -1b + 2c

Simplifying
0 = -5 + -1b + 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}