x^2-16x-160=0

Simple and best practice solution for x^2-16x-160=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-160=0 equation: 


Simplifying
x2 + -16x + -160 = 0

Reorder the terms:
-160 + -16x + x2 = 0

Solving
-160 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '160' to each side of the equation.
-160 + -16x + 160 + x2 = 0 + 160

Reorder the terms:
-160 + 160 + -16x + x2 = 0 + 160

Combine like terms: -160 + 160 = 0
0 + -16x + x2 = 0 + 160
-16x + x2 = 0 + 160

Combine like terms: 0 + 160 = 160
-16x + x2 = 160

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 = 160 + 64

Reorder the terms:
64 + -16x + x2 = 160 + 64

Combine like terms: 160 + 64 = 224
64 + -16x + x2 = 224

Factor a perfect square on the left side:
(x + -8)(x + -8) = 224

Calculate the square root of the right side: 14.966629547

Break this problem into two subproblems by setting 
(x + -8) equal to 14.966629547 and -14.966629547.


Subproblem 1
x + -8 = 14.966629547

Simplifying
x + -8 = 14.966629547

Reorder the terms:
-8 + x = 14.966629547

Solving
-8 + x = 14.966629547

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 = 14.966629547 + 8

Combine like terms: -8 + 8 = 0
0 + x = 14.966629547 + 8
x = 14.966629547 + 8

Combine like terms: 14.966629547 + 8 = 22.966629547
x = 22.966629547

Simplifying
x = 22.966629547


Subproblem 2
x + -8 = -14.966629547

Simplifying
x + -8 = -14.966629547

Reorder the terms:
-8 + x = -14.966629547

Solving
-8 + x = -14.966629547

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 = -14.966629547 + 8

Combine like terms: -8 + 8 = 0
0 + x = -14.966629547 + 8
x = -14.966629547 + 8

Combine like terms: -14.966629547 + 8 = -6.966629547
x = -6.966629547

Simplifying
x = -6.966629547


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {22.966629547, -6.966629547}

See similar equations:

| 200=0.1x | | 272/12 | | X^2-3xy-40y^2=0 | | 6y-22=140 | | 30y+5=7 | | x(3x-12)=-16 | | h=60 | | m+7=3m+79 | | 3x+2y-x-(8+1)= | | factorisey^3+2y^2+2y=12 | | (2g-3)2= | | 8x*16.5x=28 | | X^2+17x+118= | | 3cos^2x-1-2cosx=0 | | 16x^5-8x^7=0 | | y=x^3+5 | | 5u^2+14u+9=0 | | 8x*16x=28 | | 4+-28=-108 | | 3q=-6 | | 6x-x+15=35 | | 0.65/0.65 | | x-65=-76 | | m^2+2m+4=7 | | 8x-26=22 | | 16a+4=88 | | (9x+14)=0 | | 2(y+6)=2y+12 | | 3cos^2x-1=2cosx | | 8+4x=136 | | (2x-4)(9x+2)=0 | | y=9x+48 |

Equations solver categories