r^2+14r-50=0

Simple and best practice solution for r^2+14r-50=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-50=0 equation: 


Simplifying
r2 + 14r + -50 = 0

Reorder the terms:
-50 + 14r + r2 = 0

Solving
-50 + 14r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '50' to each side of the equation.
-50 + 14r + 50 + r2 = 0 + 50

Reorder the terms:
-50 + 50 + 14r + r2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + 14r + r2 = 0 + 50
14r + r2 = 0 + 50

Combine like terms: 0 + 50 = 50
14r + r2 = 50

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 = 50 + 49

Reorder the terms:
49 + 14r + r2 = 50 + 49

Combine like terms: 50 + 49 = 99
49 + 14r + r2 = 99

Factor a perfect square on the left side:
(r + 7)(r + 7) = 99

Calculate the square root of the right side: 9.949874371

Break this problem into two subproblems by setting 
(r + 7) equal to 9.949874371 and -9.949874371.


Subproblem 1
r + 7 = 9.949874371

Simplifying
r + 7 = 9.949874371

Reorder the terms:
7 + r = 9.949874371

Solving
7 + r = 9.949874371

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 = 9.949874371 + -7

Combine like terms: 7 + -7 = 0
0 + r = 9.949874371 + -7
r = 9.949874371 + -7

Combine like terms: 9.949874371 + -7 = 2.949874371
r = 2.949874371

Simplifying
r = 2.949874371


Subproblem 2
r + 7 = -9.949874371

Simplifying
r + 7 = -9.949874371

Reorder the terms:
7 + r = -9.949874371

Solving
7 + r = -9.949874371

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 = -9.949874371 + -7

Combine like terms: 7 + -7 = 0
0 + r = -9.949874371 + -7
r = -9.949874371 + -7

Combine like terms: -9.949874371 + -7 = -16.949874371
r = -16.949874371

Simplifying
r = -16.949874371


Solution
The solution to the problem is based on the solutions
from the subproblems.
r = {2.949874371, -16.949874371}

See similar equations:

| v+1.72=29 | | -3(4x+3)-(5x+2)= | | X=27-2x | | P=-10+.50 | | 64=4r^5-1 | | 0.14x+0.7(x-2)=0.01(3x-4) | | 121-4c^2=0 | | 4(3x-7)-4=4(x-5)+4 | | 4x+10+6x=90 | | 2-(5x/4)=-1/2 | | -18=6v | | -3(3x-4)-4(x+5)= | | 4x^2-3x+x^2+7x-12= | | (x+8)+(6x-58)=90 | | X=27-4x | | 6ix+4x=12iy+2y+6 | | (a+b)+(a+2b)= | | (y-6)=33 | | 1/3x-11=3 | | 6a-2=8a+8 | | 2-5x=-1/2 | | 2x+7+3x+4=25 | | 3*21/18 | | (7x-7)=(3x+45) | | 8.2(6x-3)=7(7x-1.2) | | 35q=-52 | | 11x-7/3 | | -5(3x-3)+2(4x-3)= | | 20-(x+8)=110 | | V/33=7:11 | | (16x-4)+(58)=180 | | -3(r-7)=6(7r-4) |

Equations solver categories