7r^2s^4-63r^4s^2=

Solution for 7r^2s^4-63r^4s^2= equation:

Simplifying
7r2s4 + -63r4s2 = 0

Solving
7r2s4 + -63r4s2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '7r2s2'.
7r2s2(s2 + -9r2) = 0

Factor a difference between two squares.
7r2s2((s + 3r)(s + -3r)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor 'r2s2' equal to zero and attempt to solve:

Simplifying
r2s2 = 0

Solving
r2s2 = 0

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

Simplifying
r2s2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(s + 3r)' equal to zero and attempt to solve:

Simplifying
s + 3r = 0

Reorder the terms:
3r + s = 0

Solving
3r + s = 0

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

Add '-1s' to each side of the equation.
3r + s + -1s = 0 + -1s

Combine like terms: s + -1s = 0
3r + 0 = 0 + -1s
3r = 0 + -1s
Remove the zero:
3r = -1s

Divide each side by '3'.
r = -0.3333333333s

Simplifying
r = -0.3333333333s
Subproblem 3
Set the factor '(s + -3r)' equal to zero and attempt to solve:

Simplifying
s + -3r = 0

Reorder the terms:
-3r + s = 0

Solving
-3r + s = 0

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

Add '-1s' to each side of the equation.
-3r + s + -1s = 0 + -1s

Combine like terms: s + -1s = 0
-3r + 0 = 0 + -1s
-3r = 0 + -1s
Remove the zero:
-3r = -1s

Divide each side by '-3'.
r = 0.3333333333s

Simplifying
r = 0.3333333333s
Solution
r = {-0.3333333333s, 0.3333333333s}