r(r-14)=-49

Solution for r(r-14)=-49 equation:

Simplifying
r(r + -14) = -49

Reorder the terms:
r(-14 + r) = -49
(-14 * r + r * r) = -49
(-14r + r2) = -49

Solving
-14r + r2 = -49

Solving for variable 'r'.

Reorder the terms:
49 + -14r + r2 = -49 + 49

Combine like terms: -49 + 49 = 0
49 + -14r + r2 = 0

Factor a trinomial.
(7 + -1r)(7 + -1r) = 0

Subproblem 1
Set the factor '(7 + -1r)' equal to zero and attempt to solve:

Simplifying
7 + -1r = 0

Solving
7 + -1r = 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 + -1r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1r = 0 + -7
-1r = 0 + -7

Combine like terms: 0 + -7 = -7
-1r = -7

Divide each side by '-1'.
r = 7

Simplifying
r = 7
Subproblem 2
Set the factor '(7 + -1r)' equal to zero and attempt to solve:

Simplifying
7 + -1r = 0

Solving
7 + -1r = 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 + -1r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1r = 0 + -7
-1r = 0 + -7

Combine like terms: 0 + -7 = -7
-1r = -7

Divide each side by '-1'.
r = 7

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