r^2-14r+25=

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Solution for r^2-14r+25= equation: 


Simplifying
r2 + -14r + 25 = 0

Reorder the terms:
25 + -14r + r2 = 0

Solving
25 + -14r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -14r + -25 + r2 = 0 + -25

Reorder the terms:
25 + -25 + -14r + r2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -14r + r2 = 0 + -25
-14r + r2 = 0 + -25

Combine like terms: 0 + -25 = -25
-14r + r2 = -25

The r term is -14r.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14r + 49 + r2 = -25 + 49

Reorder the terms:
49 + -14r + r2 = -25 + 49

Combine like terms: -25 + 49 = 24
49 + -14r + r2 = 24

Factor a perfect square on the left side:
(r + -7)(r + -7) = 24

Calculate the square root of the right side: 4.898979486

Break this problem into two subproblems by setting 
(r + -7) equal to 4.898979486 and -4.898979486.


Subproblem 1
r + -7 = 4.898979486

Simplifying
r + -7 = 4.898979486

Reorder the terms:
-7 + r = 4.898979486

Solving
-7 + r = 4.898979486

Solving for variable 'r'.

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 = 4.898979486 + 7

Combine like terms: -7 + 7 = 0
0 + r = 4.898979486 + 7
r = 4.898979486 + 7

Combine like terms: 4.898979486 + 7 = 11.898979486
r = 11.898979486

Simplifying
r = 11.898979486


Subproblem 2
r + -7 = -4.898979486

Simplifying
r + -7 = -4.898979486

Reorder the terms:
-7 + r = -4.898979486

Solving
-7 + r = -4.898979486

Solving for variable 'r'.

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 = -4.898979486 + 7

Combine like terms: -7 + 7 = 0
0 + r = -4.898979486 + 7
r = -4.898979486 + 7

Combine like terms: -4.898979486 + 7 = 2.101020514
r = 2.101020514

Simplifying
r = 2.101020514


Solution
The solution to the problem is based on the solutions
from the subproblems.
r = {11.898979486, 2.101020514}

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