5a(2b-7c)=

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Solution for 5a(2b-7c)= equation: 


Simplifying
5a(2b + -7c) = 0
(2b * 5a + -7c * 5a) = 0
(10ab + -35ac) = 0

Solving
10ab + -35ac = 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(2b + -7c) = 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 '(2b + -7c)' equal to zero and attempt to solve:

Simplifying
2b + -7c = 0

Solving
2b + -7c = 0

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

Add '-2b' to each side of the equation.
2b + -2b + -7c = 0 + -2b

Combine like terms: 2b + -2b = 0
0 + -7c = 0 + -2b
-7c = 0 + -2b
Remove the zero:
-7c = -2b

Add '7c' to each side of the equation.
-7c + 7c = -2b + 7c

Combine like terms: -7c + 7c = 0
0 = -2b + 7c

Simplifying
0 = -2b + 7c

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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