x^2-16x-73=0

Simple and best practice solution for x^2-16x-73=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^2-16x-73=0 equation: 


Simplifying
x2 + -16x + -73 = 0

Reorder the terms:
-73 + -16x + x2 = 0

Solving
-73 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '73' to each side of the equation.
-73 + -16x + 73 + x2 = 0 + 73

Reorder the terms:
-73 + 73 + -16x + x2 = 0 + 73

Combine like terms: -73 + 73 = 0
0 + -16x + x2 = 0 + 73
-16x + x2 = 0 + 73

Combine like terms: 0 + 73 = 73
-16x + x2 = 73

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = 73 + 64

Reorder the terms:
64 + -16x + x2 = 73 + 64

Combine like terms: 73 + 64 = 137
64 + -16x + x2 = 137

Factor a perfect square on the left side:
(x + -8)(x + -8) = 137

Calculate the square root of the right side: 11.704699911

Break this problem into two subproblems by setting 
(x + -8) equal to 11.704699911 and -11.704699911.


Subproblem 1
x + -8 = 11.704699911

Simplifying
x + -8 = 11.704699911

Reorder the terms:
-8 + x = 11.704699911

Solving
-8 + x = 11.704699911

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x = 11.704699911 + 8

Combine like terms: -8 + 8 = 0
0 + x = 11.704699911 + 8
x = 11.704699911 + 8

Combine like terms: 11.704699911 + 8 = 19.704699911
x = 19.704699911

Simplifying
x = 19.704699911


Subproblem 2
x + -8 = -11.704699911

Simplifying
x + -8 = -11.704699911

Reorder the terms:
-8 + x = -11.704699911

Solving
-8 + x = -11.704699911

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x = -11.704699911 + 8

Combine like terms: -8 + 8 = 0
0 + x = -11.704699911 + 8
x = -11.704699911 + 8

Combine like terms: -11.704699911 + 8 = -3.704699911
x = -3.704699911

Simplifying
x = -3.704699911


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {19.704699911, -3.704699911}

See similar equations:

| 1/3+2/3=16-m | | 6x-28=2(x+34) | | 7x-30-5=20 | | 7x+3(4x-2)=-79 | | 8x^2-14-15=0 | | (2/3)-2 | | 15x+67=-48 | | -5x-3*-3=14 | | 10y=13-3y | | 5(n-3)=-6 | | x^2/3-2x^1/3-3=0 | | 7y+1=6y-6 | | y=4-3-3 | | 8-6y-5y=-6 | | 16-6x=12-10x | | 6+1/9=4 | | -(x+8y)= | | 2x^2-4=x^2 | | y=x(x-2)(x+3) | | 34=8m+9m | | 2x+1.8=48.2 | | -7y+4+6y+8=3 | | g=yx+c | | 14x-(5+7x)= | | 34v+20v-18v=0 | | 2/3(3/8y+9)=27 | | t+t+t=6 | | 8-4p=20 | | Y=gx+c | | 4+10x=122+x | | -3/5x=12 | | 10b+7b-8b=27 |

Equations solver categories