x^2-16x+0.36=0

Simple and best practice solution for x^2-16x+0.36=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+0.36=0 equation: 


Simplifying
x2 + -16x + 0.36 = 0

Reorder the terms:
0.36 + -16x + x2 = 0

Solving
0.36 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.36' to each side of the equation.
0.36 + -16x + -0.36 + x2 = 0 + -0.36

Reorder the terms:
0.36 + -0.36 + -16x + x2 = 0 + -0.36

Combine like terms: 0.36 + -0.36 = 0.00
0.00 + -16x + x2 = 0 + -0.36
-16x + x2 = 0 + -0.36

Combine like terms: 0 + -0.36 = -0.36
-16x + x2 = -0.36

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 = -0.36 + 64

Reorder the terms:
64 + -16x + x2 = -0.36 + 64

Combine like terms: -0.36 + 64 = 63.64
64 + -16x + x2 = 63.64

Factor a perfect square on the left side:
(x + -8)(x + -8) = 63.64

Calculate the square root of the right side: 7.97746827

Break this problem into two subproblems by setting 
(x + -8) equal to 7.97746827 and -7.97746827.


Subproblem 1
x + -8 = 7.97746827

Simplifying
x + -8 = 7.97746827

Reorder the terms:
-8 + x = 7.97746827

Solving
-8 + x = 7.97746827

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 = 7.97746827 + 8

Combine like terms: -8 + 8 = 0
0 + x = 7.97746827 + 8
x = 7.97746827 + 8

Combine like terms: 7.97746827 + 8 = 15.97746827
x = 15.97746827

Simplifying
x = 15.97746827


Subproblem 2
x + -8 = -7.97746827

Simplifying
x + -8 = -7.97746827

Reorder the terms:
-8 + x = -7.97746827

Solving
-8 + x = -7.97746827

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 = -7.97746827 + 8

Combine like terms: -8 + 8 = 0
0 + x = -7.97746827 + 8
x = -7.97746827 + 8

Combine like terms: -7.97746827 + 8 = 0.02253173
x = 0.02253173

Simplifying
x = 0.02253173


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {15.97746827, 0.02253173}

See similar equations:

| 4s-2s=24 | | 2x+33=12x-27 | | -6=x/x+4 | | 3x+27=-3 | | 4x^2+3x^2=900 | | 100+20w=440 | | 6+18=j | | 31-25=j | | 5x^2+26x=63 | | 7(x+3)-2(x-4)=9 | | 10.4-6.8=s | | x^2-2x=25 | | 5x-10.8=x/2 | | -7s+5=6s | | 2x^2-240=0 | | x-x/10=12000 | | -9+-2x=3x | | 2x^2+14x+240=0 | | -9+-2=3x | | 6*-1^3-12*-1/4 | | 2*1/4+5*2/15 | | 2*1/4+5*1/15 | | 3/4(8x-12)-1/2(6x+10) | | 2x^2-14x+240=0 | | 2x+3/x-11=7 | | x+1/10=4/5 | | -18+11= | | -3+5+-12= | | 2x(3b-a)+5y(3b-a)= | | (-3/2-.75)-(2.25-1/2)= | | 40-9=n | | [-5+(-4)]+[9+(-2)]= |

Equations solver categories