72ax^2-98ay^2=

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Solution for 72ax^2-98ay^2= equation: 


Simplifying
72ax2 + -98ay2 = 0

Solving
72ax2 + -98ay2 = 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(36x2 + -49y2) = 0

Factor a difference between two squares.
2a((6x + 7y)(6x + -7y)) = 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 '(6x + 7y)' equal to zero and attempt to solve:

Simplifying
6x + 7y = 0

Solving
6x + 7y = 0

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

Add '-6x' to each side of the equation.
6x + -6x + 7y = 0 + -6x

Combine like terms: 6x + -6x = 0
0 + 7y = 0 + -6x
7y = 0 + -6x
Remove the zero:
7y = -6x

Add '-7y' to each side of the equation.
7y + -7y = -6x + -7y

Combine like terms: 7y + -7y = 0
0 = -6x + -7y

Simplifying
0 = -6x + -7y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(6x + -7y)' equal to zero and attempt to solve:

Simplifying
6x + -7y = 0

Solving
6x + -7y = 0

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

Add '-6x' to each side of the equation.
6x + -6x + -7y = 0 + -6x

Combine like terms: 6x + -6x = 0
0 + -7y = 0 + -6x
-7y = 0 + -6x
Remove the zero:
-7y = -6x

Add '7y' to each side of the equation.
-7y + 7y = -6x + 7y

Combine like terms: -7y + 7y = 0
0 = -6x + 7y

Simplifying
0 = -6x + 7y

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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