R2+R=210

Move 210 to the left side of the equation by subtracting it from both sides.

R2+R-210=0

Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is -210 and whose sum is 1.

-14,15

Write the factored form using these integers.

(R-14)(R+15)=0

(R-14)(R+15)=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-14=0

R+15=0

Set the first factor equal to 0.

R-14=0

Add 14 to both sides of the equation.

R=14

R=14

Set the next factor equal to 0.

R+15=0

Subtract 15 from both sides of the equation.

R=-15

R=-15

The final solution is all the values that make (R-14)(R+15)=0 true.

R=14,-15

Solve for R R^2+R=210