x^2-80x+600=0

Simple and best practice solution for x^2-80x+600=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^2-80x+600=0 equation: 


Simplifying
x2 + -80x + 600 = 0

Reorder the terms:
600 + -80x + x2 = 0

Solving
600 + -80x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-600' to each side of the equation.
600 + -80x + -600 + x2 = 0 + -600

Reorder the terms:
600 + -600 + -80x + x2 = 0 + -600

Combine like terms: 600 + -600 = 0
0 + -80x + x2 = 0 + -600
-80x + x2 = 0 + -600

Combine like terms: 0 + -600 = -600
-80x + x2 = -600

The x term is -80x.  Take half its coefficient (-40).
Square it (1600) and add it to both sides.

Add '1600' to each side of the equation.
-80x + 1600 + x2 = -600 + 1600

Reorder the terms:
1600 + -80x + x2 = -600 + 1600

Combine like terms: -600 + 1600 = 1000
1600 + -80x + x2 = 1000

Factor a perfect square on the left side:
(x + -40)(x + -40) = 1000

Calculate the square root of the right side: 31.622776602

Break this problem into two subproblems by setting 
(x + -40) equal to 31.622776602 and -31.622776602.


Subproblem 1
x + -40 = 31.622776602

Simplifying
x + -40 = 31.622776602

Reorder the terms:
-40 + x = 31.622776602

Solving
-40 + x = 31.622776602

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + x = 31.622776602 + 40

Combine like terms: -40 + 40 = 0
0 + x = 31.622776602 + 40
x = 31.622776602 + 40

Combine like terms: 31.622776602 + 40 = 71.622776602
x = 71.622776602

Simplifying
x = 71.622776602


Subproblem 2
x + -40 = -31.622776602

Simplifying
x + -40 = -31.622776602

Reorder the terms:
-40 + x = -31.622776602

Solving
-40 + x = -31.622776602

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + x = -31.622776602 + 40

Combine like terms: -40 + 40 = 0
0 + x = -31.622776602 + 40
x = -31.622776602 + 40

Combine like terms: -31.622776602 + 40 = 8.377223398
x = 8.377223398

Simplifying
x = 8.377223398


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {71.622776602, 8.377223398}

See similar equations:

| 5y-10=35 | | 5m-8m=7 | | y-0.40y= | | y+0.40y= | | m/8-9=12 | | 15-7b=22 | | 2d-3f=9forF | | 111+f=10 | | 7b-15=22 | | 315=(x+2) | | 8x*tan(2x)=0 | | 2x+19=51 | | =(3x^3-2x^2+7x-2)-(7x^3-7x^2-5x+9) | | 8G+3L+4F+7A=0 | | c=9x^2-72x+1050 | | 2y-16-5y=-10 | | 64n^2=13 | | p=-5x^2+200x-1500 | | 10x-49=3x | | -15x-3y=3 | | 1365=x^2(0.18x+54) | | 15z^4-21z^3/3z^2 | | 3x-5y=74 | | 2x+7z=4+5y | | 6(w+3)-(2w-7)=w-2 | | ln*x=1.6873 | | v=31228 | | (3x+10)+(5x)+(2x+25)=200 | | y=2x^2+24x-5 | | (4-w)(4w-3)=0 | | 3(x+2)+x=2(x+1) | | 3log(x-2)-2log(x-2)=0 |

Equations solver categories