Set the equation equal to zero.
Move 14r to the left side of the equation by subtracting it from both sides.
Subtract 14r from 2r.
Factor the left side of the equation.
Factor 12r out of 12r2-12r.
Factor 12r out of 12r2.
Factor 12r out of -12r.
Factor 12r out of 12r(r)+12r(-1).
Replace the left side with the factored expression.
Divide each term in 12r(r-1)=0 by 12.
Cancel the common factor of 12.
Cancel the common factor.
Divide r(r-1) by 1.
Divide 0 by 12.
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
Set the first factor equal to 0.
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
Add 1 to both sides of the equation.
The final solution is all the values that make 12r(r-1)12=012 true.
Solve for r 2r+12r^2=14r