(-4x-3y)(7a)=

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


Simplifying
(-4x + -3y)(7a) = 0

Remove parenthesis around (7a)
(-4x + -3y) * 7a = 0

Reorder the terms for easier multiplication:
7a(-4x + -3y) = 0
(-4x * 7a + -3y * 7a) = 0
(-28ax + -21ay) = 0

Solving
-28ax + -21ay = 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), '-7a'.
-7a(4x + 3y) = 0

Ignore the factor -7.

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 '(4x + 3y)' equal to zero and attempt to solve:

Simplifying
4x + 3y = 0

Solving
4x + 3y = 0

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

Add '-4x' to each side of the equation.
4x + -4x + 3y = 0 + -4x

Combine like terms: 4x + -4x = 0
0 + 3y = 0 + -4x
3y = 0 + -4x
Remove the zero:
3y = -4x

Add '-3y' to each side of the equation.
3y + -3y = -4x + -3y

Combine like terms: 3y + -3y = 0
0 = -4x + -3y

Simplifying
0 = -4x + -3y

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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