x^2-20x-8116=0

Simple and best practice solution for x^2-20x-8116=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 x^2-20x-8116=0 equation: 


Simplifying
x2 + -20x + -8116 = 0

Reorder the terms:
-8116 + -20x + x2 = 0

Solving
-8116 + -20x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '8116' to each side of the equation.
-8116 + -20x + 8116 + x2 = 0 + 8116

Reorder the terms:
-8116 + 8116 + -20x + x2 = 0 + 8116

Combine like terms: -8116 + 8116 = 0
0 + -20x + x2 = 0 + 8116
-20x + x2 = 0 + 8116

Combine like terms: 0 + 8116 = 8116
-20x + x2 = 8116

The x term is -20x.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20x + 100 + x2 = 8116 + 100

Reorder the terms:
100 + -20x + x2 = 8116 + 100

Combine like terms: 8116 + 100 = 8216
100 + -20x + x2 = 8216

Factor a perfect square on the left side:
(x + -10)(x + -10) = 8216

Calculate the square root of the right side: 90.642153549

Break this problem into two subproblems by setting 
(x + -10) equal to 90.642153549 and -90.642153549.


Subproblem 1
x + -10 = 90.642153549

Simplifying
x + -10 = 90.642153549

Reorder the terms:
-10 + x = 90.642153549

Solving
-10 + x = 90.642153549

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10' to each side of the equation.
-10 + 10 + x = 90.642153549 + 10

Combine like terms: -10 + 10 = 0
0 + x = 90.642153549 + 10
x = 90.642153549 + 10

Combine like terms: 90.642153549 + 10 = 100.642153549
x = 100.642153549

Simplifying
x = 100.642153549


Subproblem 2
x + -10 = -90.642153549

Simplifying
x + -10 = -90.642153549

Reorder the terms:
-10 + x = -90.642153549

Solving
-10 + x = -90.642153549

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10' to each side of the equation.
-10 + 10 + x = -90.642153549 + 10

Combine like terms: -10 + 10 = 0
0 + x = -90.642153549 + 10
x = -90.642153549 + 10

Combine like terms: -90.642153549 + 10 = -80.642153549
x = -80.642153549

Simplifying
x = -80.642153549


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {100.642153549, -80.642153549}

See similar equations:

| -10q=-9q+7 | | 96(2+x)=80(x-3) | | -10q=-9+7 | | 6=-1-x | | 10-2u=-u | | -2-6z=-4z+10 | | Ln(x)+1=0 | | 2x+103=3x+109 | | 2(7+x)=50 | | 9d=10d-3 | | 20-y=10y-2 | | v+5=-9-v | | 6w-5=7w-1 | | -3x=-5x+12 | | 3k=10+k | | -27+7+n=-5+8 | | x-20/3=7/12 | | 19-2x=-17 | | z/5+2=7/5 | | M-11=2 | | 2x-3=x-5 | | N+(-19)=-3 | | 4w+2=22 | | N+(-19)=2 | | ln^2(x)+ln(x)=0 | | 10x-85=-5 | | -36=n-16 | | -3(x-1)+x=4(9-x) | | 2[3-5(x-4)]=10-5x | | 4x+6=58 | | -4=a+5 | | N-(-11)=18 |

Equations solver categories