x^2-16x+3.5=0

Simple and best practice solution for x^2-16x+3.5=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+3.5=0 equation: 


Simplifying
x2 + -16x + 3.5 = 0

Reorder the terms:
3.5 + -16x + x2 = 0

Solving
3.5 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -16x + -3.5 + x2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -16x + x2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -16x + x2 = 0 + -3.5
-16x + x2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-16x + x2 = -3.5

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 = -3.5 + 64

Reorder the terms:
64 + -16x + x2 = -3.5 + 64

Combine like terms: -3.5 + 64 = 60.5
64 + -16x + x2 = 60.5

Factor a perfect square on the left side:
(x + -8)(x + -8) = 60.5

Calculate the square root of the right side: 7.778174593

Break this problem into two subproblems by setting 
(x + -8) equal to 7.778174593 and -7.778174593.


Subproblem 1
x + -8 = 7.778174593

Simplifying
x + -8 = 7.778174593

Reorder the terms:
-8 + x = 7.778174593

Solving
-8 + x = 7.778174593

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 = 7.778174593 + 8

Combine like terms: -8 + 8 = 0
0 + x = 7.778174593 + 8
x = 7.778174593 + 8

Combine like terms: 7.778174593 + 8 = 15.778174593
x = 15.778174593

Simplifying
x = 15.778174593


Subproblem 2
x + -8 = -7.778174593

Simplifying
x + -8 = -7.778174593

Reorder the terms:
-8 + x = -7.778174593

Solving
-8 + x = -7.778174593

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 = -7.778174593 + 8

Combine like terms: -8 + 8 = 0
0 + x = -7.778174593 + 8
x = -7.778174593 + 8

Combine like terms: -7.778174593 + 8 = 0.221825407
x = 0.221825407

Simplifying
x = 0.221825407


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {15.778174593, 0.221825407}

See similar equations:

| Y=0.75x+4 | | ((8x)^0.5)/50 | | ((8x)^0.5)/100 | | (8x)^0.5/100 | | R=7.6 | | 25x=18x+14 | | 7e-0.5t=60 | | 5y-(128+x)=65x | | 5c+6+8c-2= | | 4x+6=7y-21 | | 4c=6(x-3) | | 185=-5(8n-5) | | -168=6(5n-8) | | 7(6n+8)=392 | | 8x^2-130x+600=0 | | -(x+8)=2(4+5) | | 5n-6=14 | | 3n+7=19 | | -2x^2-9=-3x^2+16 | | 16(2y^2)= | | 6a+2b+3a+4b= | | 9a+5b+3a+3b= | | -b^2+4b-7=0 | | -6x*.5= | | -x+15=x+29 | | x^2-1=(x-1)*(x+1) | | 8*.5= | | xdy=2ydx | | 654*x=4x+8 | | 3(2t+3m)= | | .3+3=4-x | | 17(2x+5)+(-x+4)= |

Equations solver categories