2x^4r-72y^4r=

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Solution for 2x^4r-72y^4r= equation: 


Simplifying
2x4r + -72y4r = 0

Solving
2rx4 + -72ry4 = 0

Solving for variable 'r'.

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

Factor out the Greatest Common Factor (GCF), '2r'.
2r(x4 + -36y4) = 0

Factor a difference between two squares.
2r((x2 + 6y2)(x2 + -6y2)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0

Subproblem 2
Set the factor '(x2 + 6y2)' equal to zero and attempt to solve:

Simplifying
x2 + 6y2 = 0

Solving
x2 + 6y2 = 0

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

Add '-1x2' to each side of the equation.
x2 + -1x2 + 6y2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
0 + 6y2 = 0 + -1x2
6y2 = 0 + -1x2
Remove the zero:
6y2 = -1x2

Add '-6y2' to each side of the equation.
6y2 + -6y2 = -1x2 + -6y2

Combine like terms: 6y2 + -6y2 = 0
0 = -1x2 + -6y2

Simplifying
0 = -1x2 + -6y2

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 '(x2 + -6y2)' equal to zero and attempt to solve:

Simplifying
x2 + -6y2 = 0

Solving
x2 + -6y2 = 0

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

Add '-1x2' to each side of the equation.
x2 + -1x2 + -6y2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
0 + -6y2 = 0 + -1x2
-6y2 = 0 + -1x2
Remove the zero:
-6y2 = -1x2

Add '6y2' to each side of the equation.
-6y2 + 6y2 = -1x2 + 6y2

Combine like terms: -6y2 + 6y2 = 0
0 = -1x2 + 6y2

Simplifying
0 = -1x2 + 6y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
r = {0}

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