2a(9b+8c)+4ac=

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Solution for 2a(9b+8c)+4ac= equation: 


Simplifying
2a(9b + 8c) + 4ac = 0
(9b * 2a + 8c * 2a) + 4ac = 0
(18ab + 16ac) + 4ac = 0

Combine like terms: 16ac + 4ac = 20ac
18ab + 20ac = 0

Solving
18ab + 20ac = 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(9b + 10c) = 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 '(9b + 10c)' equal to zero and attempt to solve:

Simplifying
9b + 10c = 0

Solving
9b + 10c = 0

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

Add '-9b' to each side of the equation.
9b + -9b + 10c = 0 + -9b

Combine like terms: 9b + -9b = 0
0 + 10c = 0 + -9b
10c = 0 + -9b
Remove the zero:
10c = -9b

Add '-10c' to each side of the equation.
10c + -10c = -9b + -10c

Combine like terms: 10c + -10c = 0
0 = -9b + -10c

Simplifying
0 = -9b + -10c

The solution to this equation could not be determined.

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

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