x(x^2-4x-4)=0

Simple and best practice solution for x(x^2-4x-4)=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(x^2-4x-4)=0 equation: 


Simplifying
x(x2 + -4x + -4) = 0

Reorder the terms:
x(-4 + -4x + x2) = 0
(-4 * x + -4x * x + x2 * x) = 0
(-4x + -4x2 + x3) = 0

Solving
-4x + -4x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + -4x + x2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-4 + -4x + x2)' equal to zero and attempt to solve:

Simplifying
-4 + -4x + x2 = 0

Solving
-4 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

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 = 4 + 4

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

Combine like terms: 4 + 4 = 8
4 + -4x + x2 = 8

Factor a perfect square on the left side:
(x + -2)(x + -2) = 8

Calculate the square root of the right side: 2.828427125

Break this problem into two subproblems by setting 
(x + -2) equal to 2.828427125 and -2.828427125.


Subproblem 1
x + -2 = 2.828427125

Simplifying
x + -2 = 2.828427125

Reorder the terms:
-2 + x = 2.828427125

Solving
-2 + x = 2.828427125

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 = 2.828427125 + 2

Combine like terms: -2 + 2 = 0
0 + x = 2.828427125 + 2
x = 2.828427125 + 2

Combine like terms: 2.828427125 + 2 = 4.828427125
x = 4.828427125

Simplifying
x = 4.828427125


Subproblem 2
x + -2 = -2.828427125

Simplifying
x + -2 = -2.828427125

Reorder the terms:
-2 + x = -2.828427125

Solving
-2 + x = -2.828427125

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 = -2.828427125 + 2

Combine like terms: -2 + 2 = 0
0 + x = -2.828427125 + 2
x = -2.828427125 + 2

Combine like terms: -2.828427125 + 2 = -0.828427125
x = -0.828427125

Simplifying
x = -0.828427125


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.828427125, -0.828427125}
Solution
x = {0, 4.828427125, -0.828427125}

See similar equations:

| 5-4x=30 | | t+13= | | 3l=42 | | [2A-5B+C][3A-3B-C]=52 | | 3t+4= | | 6+(6+4)= | | 42x(5+8x)=(5x+6)(9-3x) | | 5(2a-3)-3(2a+1)=0 | | 2*(a-5)+2*(a-4)-6a-12= | | 4a-20+2a-8-6a-12= | | 0.3x+x=27 | | 7(m-2)=3(2m-3) | | 3x(9-x)=0 | | 3w+20=9w-10 | | f(x)=x^2whatisg(x) | | 5x-3=-22 | | (3u-1)(6-u)=0 | | 7(x+14)=0 | | 26+10y=3x | | X^2-28x+160=144 | | (1-x)(x-8)= | | 8n-9=63 | | 2x(3+5x)= | | 2x+3y=605 | | 3(4a-2b+ab)-4b(3a-4)+9ab= | | -5(4a-5b-4ab+2b)= | | 3a^2-5ab+2a^2= | | 10x-14-6x=6 | | 4x+10+3x=80 | | 2x^9y-8= | | 10x-30=5x+30 | | -1x+4=-2x+10 |

Equations solver categories