7r^2-7r+6=6

Solution for 7r^2-7r+6=6 equation:

Simplifying
7r2 + -7r + 6 = 6

Reorder the terms:
6 + -7r + 7r2 = 6

Add '-6' to each side of the equation.
6 + -7r + -6 + 7r2 = 6 + -6

Reorder the terms:
6 + -6 + -7r + 7r2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + -7r + 7r2 = 6 + -6
-7r + 7r2 = 6 + -6

Combine like terms: 6 + -6 = 0
-7r + 7r2 = 0

Solving
-7r + 7r2 = 0

Solving for variable 'r'.

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

Ignore the factor 7.
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 + r)' equal to zero and attempt to solve:

Simplifying
-1 + r = 0

Solving
-1 + r = 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 + r = 0 + 1

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

Combine like terms: 0 + 1 = 1
r = 1

Simplifying
r = 1
Solution
r = {0, 1}