3a(4b-7)=

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Solution for 3a(4b-7)= equation: 


Simplifying
3a(4b + -7) = 0

Reorder the terms:
3a(-7 + 4b) = 0
(-7 * 3a + 4b * 3a) = 0
(-21a + 12ab) = 0

Solving
-21a + 12ab = 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), '3a'.
3a(-7 + 4b) = 0

Ignore the factor 3.

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 + 4b)' equal to zero and attempt to solve:

Simplifying
-7 + 4b = 0

Solving
-7 + 4b = 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 + 4b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 4b = 0 + 7
4b = 0 + 7

Combine like terms: 0 + 7 = 7
4b = 7

Add '-4b' to each side of the equation.
4b + -4b = 7 + -4b

Combine like terms: 4b + -4b = 0
0 = 7 + -4b

Simplifying
0 = 7 + -4b

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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