a(ca+b)=0

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Solution for a(ca+b)=0 equation: 


Simplifying
a(ca + b) = 0
(ac * a + b * a) = 0

Reorder the terms:
(ab + a2c) = 0
(ab + a2c) = 0

Solving
ab + a2c = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(b + ac) = 0


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 '(b + ac)' equal to zero and attempt to solve:

Simplifying
b + ac = 0

Reorder the terms:
ac + b = 0

Solving
ac + b = 0

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

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

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

Divide each side by 'c'.
a = -1bc-1

Simplifying
a = -1bc-1
Solution
a = {0, -1bc-1}

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