r^2+21r+98=

Solution for r^2+21r+98= equation:

Simplifying
r2 + 21r + 98 = 0

Reorder the terms:
98 + 21r + r2 = 0

Solving
98 + 21r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(14 + r)(7 + r) = 0

Subproblem 1
Set the factor '(14 + r)' equal to zero and attempt to solve:

Simplifying
14 + r = 0

Solving
14 + r = 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 + r = 0 + -14

Combine like terms: 14 + -14 = 0
0 + r = 0 + -14
r = 0 + -14

Combine like terms: 0 + -14 = -14
r = -14

Simplifying
r = -14
Subproblem 2
Set the factor '(7 + r)' equal to zero and attempt to solve:

Simplifying
7 + r = 0

Solving
7 + r = 0

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

Add '-7' to each side of the equation.
7 + -7 + r = 0 + -7

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

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

Simplifying
r = -7
Solution
r = {-14, -7}