r^2-14r-79=0

Simple and best practice solution for r^2-14r-79=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-79=0 equation:


Simplifying
r2 + -14r + -79 = 0

Reorder the terms:
-79 + -14r + r2 = 0

Solving
-79 + -14r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '79' to each side of the equation.
-79 + -14r + 79 + r2 = 0 + 79

Reorder the terms:
-79 + 79 + -14r + r2 = 0 + 79

Combine like terms: -79 + 79 = 0
0 + -14r + r2 = 0 + 79
-14r + r2 = 0 + 79

Combine like terms: 0 + 79 = 79
-14r + r2 = 79

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 = 79 + 49

Reorder the terms:
49 + -14r + r2 = 79 + 49

Combine like terms: 79 + 49 = 128
49 + -14r + r2 = 128

Factor a perfect square on the left side:
(r + -7)(r + -7) = 128

Calculate the square root of the right side: 11.313708499

Break this problem into two subproblems by setting 
(r + -7) equal to 11.313708499 and -11.313708499.


Subproblem 1
r + -7 = 11.313708499

Simplifying
r + -7 = 11.313708499

Reorder the terms:
-7 + r = 11.313708499

Solving
-7 + r = 11.313708499

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 = 11.313708499 + 7

Combine like terms: -7 + 7 = 0
0 + r = 11.313708499 + 7
r = 11.313708499 + 7

Combine like terms: 11.313708499 + 7 = 18.313708499
r = 18.313708499

Simplifying
r = 18.313708499


Subproblem 2
r + -7 = -11.313708499

Simplifying
r + -7 = -11.313708499

Reorder the terms:
-7 + r = -11.313708499

Solving
-7 + r = -11.313708499

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 = -11.313708499 + 7

Combine like terms: -7 + 7 = 0
0 + r = -11.313708499 + 7
r = -11.313708499 + 7

Combine like terms: -11.313708499 + 7 = -4.313708499
r = -4.313708499

Simplifying
r = -4.313708499


Solution
The solution to the problem is based on the solutions
from the subproblems.
r = {18.313708499, -4.313708499}

See similar equations:

| 7k-2k-7= | | 6y+87= | | -4+31=-3(X+6) | | 6k-2k-3= | | 12k+15=35+2k | | 0.08-0.03(x+3)=-0.02(3-x) | | 2x-2=30 | | (9x+1)-(-6x+5)= | | 7x-40-2x=50 | | 3+3x-x+2=3x+4 | | 3x^3-12x^2+18x-72= | | 0.81x-0.15=3.26-2.29x | | 8+3x=83 | | 49s^3-1s=0 | | 10-(4x-9)=7-5x | | -9(y-2)-5=-4(y-1) | | 1+3x-x=x-4+2x | | -8=-(x+5) | | 2x^2+15+7=0 | | 14x-8+3x-4=13x-4+3x | | x^2-16x+11=0 | | 14x-8+3x-4=13x-4 | | x^2-12x+36=54 | | 20-3y=5 | | 5m+4=7m+10 | | a-7=48 | | x-205583773357742= | | -18x^2=0 | | 4x-2-2x=x-5 | | -2x^2=-7x+11 | | -6(m-3)-9(2m-3)=-25(m-2)7 | | 11-3b=5 |

Equations solver categories