5ab-14a+49a=

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Solution for 5ab-14a+49a= equation: 


Simplifying
5ab + -14a + 49a = 0

Reorder the terms:
-14a + 49a + 5ab = 0

Combine like terms: -14a + 49a = 35a
35a + 5ab = 0

Solving
35a + 5ab = 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(7 + b) = 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 '(7 + b)' equal to zero and attempt to solve:

Simplifying
7 + b = 0

Solving
7 + b = 0

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

Add '-7' to each side of the equation.
7 + -7 + b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + b = 0 + -7
b = 0 + -7

Combine like terms: 0 + -7 = -7
b = -7

Add '-1b' to each side of the equation.
b + -1b = -7 + -1b

Combine like terms: b + -1b = 0
0 = -7 + -1b

Simplifying
0 = -7 + -1b

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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