# Solve for r 2r+12r^2=14r

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

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