0=x^2-8x-16

Simple and best practice solution for 0=x^2-8x-16 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 0=x^2-8x-16 equation: 


Simplifying
0 = x2 + -8x + -16

Reorder the terms:
0 = -16 + -8x + x2

Solving
0 = -16 + -8x + x2

Solving for variable 'x'.

Combine like terms: 0 + 16 = 16
16 + 8x + -1x2 = -16 + -8x + x2 + 16 + 8x + -1x2

Reorder the terms:
16 + 8x + -1x2 = -16 + 16 + -8x + 8x + x2 + -1x2

Combine like terms: -16 + 16 = 0
16 + 8x + -1x2 = 0 + -8x + 8x + x2 + -1x2
16 + 8x + -1x2 = -8x + 8x + x2 + -1x2

Combine like terms: -8x + 8x = 0
16 + 8x + -1x2 = 0 + x2 + -1x2
16 + 8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-16 + -8x + x2 = 0

Move the constant term to the right:

Add '16' to each side of the equation.
-16 + -8x + 16 + x2 = 0 + 16

Reorder the terms:
-16 + 16 + -8x + x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -8x + x2 = 0 + 16
-8x + x2 = 0 + 16

Combine like terms: 0 + 16 = 16
-8x + x2 = 16

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = 16 + 16

Reorder the terms:
16 + -8x + x2 = 16 + 16

Combine like terms: 16 + 16 = 32
16 + -8x + x2 = 32

Factor a perfect square on the left side:
(x + -4)(x + -4) = 32

Calculate the square root of the right side: 5.656854249

Break this problem into two subproblems by setting 
(x + -4) equal to 5.656854249 and -5.656854249.


Subproblem 1
x + -4 = 5.656854249

Simplifying
x + -4 = 5.656854249

Reorder the terms:
-4 + x = 5.656854249

Solving
-4 + x = 5.656854249

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = 5.656854249 + 4

Combine like terms: -4 + 4 = 0
0 + x = 5.656854249 + 4
x = 5.656854249 + 4

Combine like terms: 5.656854249 + 4 = 9.656854249
x = 9.656854249

Simplifying
x = 9.656854249


Subproblem 2
x + -4 = -5.656854249

Simplifying
x + -4 = -5.656854249

Reorder the terms:
-4 + x = -5.656854249

Solving
-4 + x = -5.656854249

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = -5.656854249 + 4

Combine like terms: -4 + 4 = 0
0 + x = -5.656854249 + 4
x = -5.656854249 + 4

Combine like terms: -5.656854249 + 4 = -1.656854249
x = -1.656854249

Simplifying
x = -1.656854249


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.656854249, -1.656854249}

See similar equations:

| 25n=2 | | b-15=57 | | 2[-5(3x+4)+5(4x-4)]= | | 200n=8 | | 9+3n-4=32 | | 15u^6v^5/20v^4-25v^2y^5 | | 40n=6 | | g-6=86 | | x^2=11-6 | | -8x^2+5x-8=0 | | -24+10y=20 | | 2/5x-2/5(x-3)=1/5x+3 | | 50n=31 | | 0.6m+3=2m+2 | | t/2=15 | | (9y^2-8)+(9y^2-9)= | | 12xb=60 | | -0.5x^2+x+7.5=0 | | 0.3(x-1)=4 | | 20n=11 | | (x^2+8x+16)(X^2+6X+18)= | | p/6=16 | | 6+6(2+2)6/6 | | 25=5(-3+w) | | b-49=17 | | e+3e=40-(-2)+5e | | 6/4-1=-7 | | 2xf=86 | | 36b^4=24 | | b-44=53 | | 4+6x+9=74 | | x^5-2x^2+4=0 |

Equations solver categories