5ab+7ac+10ab-3ac=

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Solution for 5ab+7ac+10ab-3ac= equation: 


Simplifying
5ab + 7ac + 10ab + -3ac = 0

Reorder the terms:
5ab + 10ab + 7ac + -3ac = 0

Combine like terms: 5ab + 10ab = 15ab
15ab + 7ac + -3ac = 0

Combine like terms: 7ac + -3ac = 4ac
15ab + 4ac = 0

Solving
15ab + 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), 'a'.
a(15b + 4c) = 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 '(15b + 4c)' equal to zero and attempt to solve:

Simplifying
15b + 4c = 0

Solving
15b + 4c = 0

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

Add '-15b' to each side of the equation.
15b + -15b + 4c = 0 + -15b

Combine like terms: 15b + -15b = 0
0 + 4c = 0 + -15b
4c = 0 + -15b
Remove the zero:
4c = -15b

Add '-4c' to each side of the equation.
4c + -4c = -15b + -4c

Combine like terms: 4c + -4c = 0
0 = -15b + -4c

Simplifying
0 = -15b + -4c

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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