=r(7y-1)

Solution for =r(7y-1) equation:

Simplifying
0 = r(7y + -1)

Reorder the terms:
0 = r(-1 + 7y)
0 = (-1 * r + 7y * r)
0 = (-1r + 7ry)

Solving
0 = -1r + 7ry

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
0 + r = -1r + r + 7ry
Remove the zero:
r = -1r + r + 7ry

Combine like terms: -1r + r = 0
r = 0 + 7ry
r = 7ry

Add '-7ry' to each side of the equation.
r + -7ry = 7ry + -7ry

Combine like terms: 7ry + -7ry = 0
r + -7ry = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(1 + -7y) = 0

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 '(1 + -7y)' equal to zero and attempt to solve:

Simplifying
1 + -7y = 0

Solving
1 + -7y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7y = 0 + -1
-7y = 0 + -1

Combine like terms: 0 + -1 = -1
-7y = -1

Add '7y' to each side of the equation.
-7y + 7y = -1 + 7y

Combine like terms: -7y + 7y = 0
0 = -1 + 7y

Simplifying
0 = -1 + 7y

The solution to this equation could not be determined.

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