r^2+14r-26=0

Simple and best practice solution for r^2+14r-26=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for r^2+14r-26=0 equation: 


Simplifying
r2 + 14r + -26 = 0

Reorder the terms:
-26 + 14r + r2 = 0

Solving
-26 + 14r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '26' to each side of the equation.
-26 + 14r + 26 + r2 = 0 + 26

Reorder the terms:
-26 + 26 + 14r + r2 = 0 + 26

Combine like terms: -26 + 26 = 0
0 + 14r + r2 = 0 + 26
14r + r2 = 0 + 26

Combine like terms: 0 + 26 = 26
14r + r2 = 26

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 = 26 + 49

Reorder the terms:
49 + 14r + r2 = 26 + 49

Combine like terms: 26 + 49 = 75
49 + 14r + r2 = 75

Factor a perfect square on the left side:
(r + 7)(r + 7) = 75

Calculate the square root of the right side: 8.660254038

Break this problem into two subproblems by setting 
(r + 7) equal to 8.660254038 and -8.660254038.


Subproblem 1
r + 7 = 8.660254038

Simplifying
r + 7 = 8.660254038

Reorder the terms:
7 + r = 8.660254038

Solving
7 + r = 8.660254038

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 = 8.660254038 + -7

Combine like terms: 7 + -7 = 0
0 + r = 8.660254038 + -7
r = 8.660254038 + -7

Combine like terms: 8.660254038 + -7 = 1.660254038
r = 1.660254038

Simplifying
r = 1.660254038


Subproblem 2
r + 7 = -8.660254038

Simplifying
r + 7 = -8.660254038

Reorder the terms:
7 + r = -8.660254038

Solving
7 + r = -8.660254038

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 = -8.660254038 + -7

Combine like terms: 7 + -7 = 0
0 + r = -8.660254038 + -7
r = -8.660254038 + -7

Combine like terms: -8.660254038 + -7 = -15.660254038
r = -15.660254038

Simplifying
r = -15.660254038


Solution
The solution to the problem is based on the solutions
from the subproblems.
r = {1.660254038, -15.660254038}

See similar equations:

| 2(11r+7)+1=1414(88r+60) | | 4a-5=-5a+11 | | 2y-3=y+8 | | 356+56x=-833 | | 3x+12=-4x-16 | | 34+x=170 | | x/4-y/5=1 | | g/-10=0 | | 12x+15x+15=x+8 | | 2x(9x-1)(2x+3)=0 | | (-1/2)^-4 | | 12x+15x-15=x+8 | | 12x-15x-15=x+8 | | 6x-4x-(7x+3)= | | -5(-(x/5)) | | 3h-5=33 | | -2y=6+4x | | -5-(x/5) | | 16-x^2=9 | | 2x-13=4x+11 | | -5*-(x/5) | | 567b-674-h=45 | | -5*-x/5 | | 2x=ln(-4x+5) | | (e^2x)+4x-5=0 | | 2(4x+2+5x-3)=124 | | 8y-5=5y+16 | | 3/5x-5/3x | | 92-12/x=-75 | | t-32.8=-7 | | 3y=2+11 | | 3x/11-5/4=2x/7 |

Equations solver categories