x^2-16x+44=0

Simple and best practice solution for x^2-16x+44=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+44=0 equation: 


Simplifying
x2 + -16x + 44 = 0

Reorder the terms:
44 + -16x + x2 = 0

Solving
44 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-44' to each side of the equation.
44 + -16x + -44 + x2 = 0 + -44

Reorder the terms:
44 + -44 + -16x + x2 = 0 + -44

Combine like terms: 44 + -44 = 0
0 + -16x + x2 = 0 + -44
-16x + x2 = 0 + -44

Combine like terms: 0 + -44 = -44
-16x + x2 = -44

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 = -44 + 64

Reorder the terms:
64 + -16x + x2 = -44 + 64

Combine like terms: -44 + 64 = 20
64 + -16x + x2 = 20

Factor a perfect square on the left side:
(x + -8)(x + -8) = 20

Calculate the square root of the right side: 4.472135955

Break this problem into two subproblems by setting 
(x + -8) equal to 4.472135955 and -4.472135955.


Subproblem 1
x + -8 = 4.472135955

Simplifying
x + -8 = 4.472135955

Reorder the terms:
-8 + x = 4.472135955

Solving
-8 + x = 4.472135955

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 = 4.472135955 + 8

Combine like terms: -8 + 8 = 0
0 + x = 4.472135955 + 8
x = 4.472135955 + 8

Combine like terms: 4.472135955 + 8 = 12.472135955
x = 12.472135955

Simplifying
x = 12.472135955


Subproblem 2
x + -8 = -4.472135955

Simplifying
x + -8 = -4.472135955

Reorder the terms:
-8 + x = -4.472135955

Solving
-8 + x = -4.472135955

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 = -4.472135955 + 8

Combine like terms: -8 + 8 = 0
0 + x = -4.472135955 + 8
x = -4.472135955 + 8

Combine like terms: -4.472135955 + 8 = 3.527864045
x = 3.527864045

Simplifying
x = 3.527864045


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {12.472135955, 3.527864045}

See similar equations:

| -65-2x=5-9x | | 5(6x-7)= | | 11(z+1)-4(z-3)=2(z-1)+4(z-1) | | x^2-10x+29=5 | | 3(x-23)+2(x-4)=13 | | 7x+2=20-2x | | -91-9x=9x+17 | | -4x-7(x+2)=-2(5x+5) | | 3x-12y=12 | | 3(x-5)+18=2(x+3) | | 11x+8=41 | | 8x+8=3x+33 | | X^2+48=14x | | 5x-28=12 | | 93+(y-47)=3(y+6) | | 21(19-x)=15(5x+1) | | 5x-7=3x+12 | | 20x-(9x-5)=16 | | 3x+6-4=x+5+2x | | y=15x^2+bx+c | | 22.5f+18=85-11f | | 25v=150 | | 18=14+4(x-11) | | -3(2n-8)=27 | | 80-5w^2=0 | | 7(x+7)=6(2x+6)-15 | | 3(x+7)=45 | | 5x-10=30 | | 13x^2-21x=0 | | 9u=72 | | 87-(32.25-v)=8v+30 | | 2x-3=9x-31 |

Equations solver categories