x^2-36x+200=0

Simple and best practice solution for x^2-36x+200=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^2-36x+200=0 equation: 


Simplifying
x2 + -36x + 200 = 0

Reorder the terms:
200 + -36x + x2 = 0

Solving
200 + -36x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-200' to each side of the equation.
200 + -36x + -200 + x2 = 0 + -200

Reorder the terms:
200 + -200 + -36x + x2 = 0 + -200

Combine like terms: 200 + -200 = 0
0 + -36x + x2 = 0 + -200
-36x + x2 = 0 + -200

Combine like terms: 0 + -200 = -200
-36x + x2 = -200

The x term is -36x.  Take half its coefficient (-18).
Square it (324) and add it to both sides.

Add '324' to each side of the equation.
-36x + 324 + x2 = -200 + 324

Reorder the terms:
324 + -36x + x2 = -200 + 324

Combine like terms: -200 + 324 = 124
324 + -36x + x2 = 124

Factor a perfect square on the left side:
(x + -18)(x + -18) = 124

Calculate the square root of the right side: 11.135528726

Break this problem into two subproblems by setting 
(x + -18) equal to 11.135528726 and -11.135528726.


Subproblem 1
x + -18 = 11.135528726

Simplifying
x + -18 = 11.135528726

Reorder the terms:
-18 + x = 11.135528726

Solving
-18 + x = 11.135528726

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + x = 11.135528726 + 18

Combine like terms: -18 + 18 = 0
0 + x = 11.135528726 + 18
x = 11.135528726 + 18

Combine like terms: 11.135528726 + 18 = 29.135528726
x = 29.135528726

Simplifying
x = 29.135528726


Subproblem 2
x + -18 = -11.135528726

Simplifying
x + -18 = -11.135528726

Reorder the terms:
-18 + x = -11.135528726

Solving
-18 + x = -11.135528726

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + x = -11.135528726 + 18

Combine like terms: -18 + 18 = 0
0 + x = -11.135528726 + 18
x = -11.135528726 + 18

Combine like terms: -11.135528726 + 18 = 6.864471274
x = 6.864471274

Simplifying
x = 6.864471274


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {29.135528726, 6.864471274}

See similar equations:

| 5n=360 | | x^2-36x+200=5 | | x^2-36x+45=5 | | x^2-36x+45=0 | | x^2-36x+40=5 | | 180=13x-34 | | 180=12x-34 | | 4x-4=3(x-1) | | x^2-16x+22=1 | | 180=3x-16+55 | | 5x/4=4 | | x^3-6x^2+2x+4=0 | | 3x^2+11x-12=x-4 | | 3(2x+3)=4x+9 | | 4x-10=26-2x | | 4x+3=9x-17 | | n+5n-3c= | | 4000=-16x^2+160x | | 14t-3t= | | -3/4(x-(-2)) | | 3(11-2x)=45 | | (9c+3b)= | | (4d+12)= | | -3+x=148 | | 2(5x+3)=52 | | 49=37-x | | x+x-4=26 | | x+x-4+12=26 | | x+x+4+12=26 | | x^2+y^2+6y=4 | | 4x+21=15 | | x-15=202 |

Equations solver categories