2a(3x-4y+7)=

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Solution for 2a(3x-4y+7)= equation: 


Simplifying
2a(3x + -4y + 7) = 0

Reorder the terms:
2a(7 + 3x + -4y) = 0
(7 * 2a + 3x * 2a + -4y * 2a) = 0
(14a + 6ax + -8ay) = 0

Solving
14a + 6ax + -8ay = 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), '2a'.
2a(7 + 3x + -4y) = 0

Ignore the factor 2.

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

Simplifying
7 + 3x + -4y = 0

Solving
7 + 3x + -4y = 0

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

Add '-7' to each side of the equation.
7 + 3x + -7 + -4y = 0 + -7

Reorder the terms:
7 + -7 + 3x + -4y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x + -4y = 0 + -7
3x + -4y = 0 + -7

Combine like terms: 0 + -7 = -7
3x + -4y = -7

Add '-3x' to each side of the equation.
3x + -3x + -4y = -7 + -3x

Combine like terms: 3x + -3x = 0
0 + -4y = -7 + -3x
-4y = -7 + -3x

Add '4y' to each side of the equation.
-4y + 4y = -7 + -3x + 4y

Combine like terms: -4y + 4y = 0
0 = -7 + -3x + 4y

Simplifying
0 = -7 + -3x + 4y

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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