R^2+R-210=0

Solution for R^2+R-210=0 equation:

Simplifying
R2 + R + -210 = 0

Reorder the terms:
-210 + R + R2 = 0

Solving
-210 + R + R2 = 0

Solving for variable 'R'.

Factor a trinomial.
(-15 + -1R)(14 + -1R) = 0

Subproblem 1
Set the factor '(-15 + -1R)' equal to zero and attempt to solve:

Simplifying
-15 + -1R = 0

Solving
-15 + -1R = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1R = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1R = 0 + 15
-1R = 0 + 15

Combine like terms: 0 + 15 = 15
-1R = 15

Divide each side by '-1'.
R = -15

Simplifying
R = -15
Subproblem 2
Set the factor '(14 + -1R)' equal to zero and attempt to solve:

Simplifying
14 + -1R = 0

Solving
14 + -1R = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1R = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1R = 0 + -14
-1R = 0 + -14

Combine like terms: 0 + -14 = -14
-1R = -14

Divide each side by '-1'.
R = 14

Simplifying
R = 14
Solution
R = {-15, 14}