x^2+-4*x+-16=0

Simple and best practice solution for x^2+-4*x+-16=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+-4*x+-16=0 equation: 


Simplifying
x2 + -4x + -16 = 0

Reorder the terms:
-16 + -4x + x2 = 0

Solving
-16 + -4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '16' to each side of the equation.
-16 + -4x + 16 + x2 = 0 + 16

Reorder the terms:
-16 + 16 + -4x + x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -4x + x2 = 0 + 16
-4x + x2 = 0 + 16

Combine like terms: 0 + 16 = 16
-4x + x2 = 16

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = 16 + 4

Reorder the terms:
4 + -4x + x2 = 16 + 4

Combine like terms: 16 + 4 = 20
4 + -4x + x2 = 20

Factor a perfect square on the left side:
(x + -2)(x + -2) = 20

Calculate the square root of the right side: 4.472135955

Break this problem into two subproblems by setting 
(x + -2) equal to 4.472135955 and -4.472135955.


Subproblem 1
x + -2 = 4.472135955

Simplifying
x + -2 = 4.472135955

Reorder the terms:
-2 + x = 4.472135955

Solving
-2 + x = 4.472135955

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = 4.472135955 + 2

Combine like terms: -2 + 2 = 0
0 + x = 4.472135955 + 2
x = 4.472135955 + 2

Combine like terms: 4.472135955 + 2 = 6.472135955
x = 6.472135955

Simplifying
x = 6.472135955


Subproblem 2
x + -2 = -4.472135955

Simplifying
x + -2 = -4.472135955

Reorder the terms:
-2 + x = -4.472135955

Solving
-2 + x = -4.472135955

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = -4.472135955 + 2

Combine like terms: -2 + 2 = 0
0 + x = -4.472135955 + 2
x = -4.472135955 + 2

Combine like terms: -4.472135955 + 2 = -2.472135955
x = -2.472135955

Simplifying
x = -2.472135955


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.472135955, -2.472135955}

See similar equations:

| -10(-6)(-4)= | | (-6)(3)(-4)= | | -5(3)(-4)=t | | 8x+2y+2x+y=180 | | 6x-21-2-2x-6=-9 | | 3(-4)=t | | 2(-6)(3)=r | | 3(x/5-11)=18 | | -4(-4)=p | | 15+6=920 | | 18x-6=24x-18 | | V=1/3(pi)10^2(50) | | 9=6a-2 | | (sqrt(x^7*y^2))/xy | | 2x+9=-2 | | 5=1+7x | | X+2y=174 | | 2x+2y=174 | | -12(3)(-4)=m | | 4/24=m/60 | | 3m-2=-2-6m-m | | -2(-6)(-6)=m | | 3/x=6/10 | | y*50=25whatisy | | -4(-6)=m | | 16+y=24 | | 1/2-3/10 | | 4/6-2/5 | | b=-9(10) | | v=14(-3) | | 5+6a+116= | | r=(-12)(5) |

Equations solver categories