4x(4x-4)-4=0

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


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

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

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

Solving
-4 + -16x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -4x + 4x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-1 + -4x + 4x2)' equal to zero and attempt to solve:

Simplifying
-1 + -4x + 4x2 = 0

Solving
-1 + -4x + 4x2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
-0.25 + -1x + x2 = 0

Move the constant term to the right:

Add '0.25' to each side of the equation.
-0.25 + -1x + 0.25 + x2 = 0 + 0.25

Reorder the terms:
-0.25 + 0.25 + -1x + x2 = 0 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + -1x + x2 = 0 + 0.25
-1x + x2 = 0 + 0.25

Combine like terms: 0 + 0.25 = 0.25
-1x + x2 = 0.25

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = 0.25 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 0.25 + 0.25

Combine like terms: 0.25 + 0.25 = 0.5
0.25 + -1x + x2 = 0.5

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 0.5

Calculate the square root of the right side: 0.707106781

Break this problem into two subproblems by setting 
(x + -0.5) equal to 0.707106781 and -0.707106781.


Subproblem 1
x + -0.5 = 0.707106781

Simplifying
x + -0.5 = 0.707106781

Reorder the terms:
-0.5 + x = 0.707106781

Solving
-0.5 + x = 0.707106781

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = 0.707106781 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = 0.707106781 + 0.5
x = 0.707106781 + 0.5

Combine like terms: 0.707106781 + 0.5 = 1.207106781
x = 1.207106781

Simplifying
x = 1.207106781


Subproblem 2
x + -0.5 = -0.707106781

Simplifying
x + -0.5 = -0.707106781

Reorder the terms:
-0.5 + x = -0.707106781

Solving
-0.5 + x = -0.707106781

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = -0.707106781 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = -0.707106781 + 0.5
x = -0.707106781 + 0.5

Combine like terms: -0.707106781 + 0.5 = -0.207106781
x = -0.207106781

Simplifying
x = -0.207106781


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.207106781, -0.207106781}
Solution
x = {1.207106781, -0.207106781}

See similar equations:

| 9x-10=14+5x-9-3 | | -2-(4-5p)= | | 20n-n= | | 3p=p+46 | | (4*6)*10=4*(n*10) | | ((2+n)-3)=12 | | 2x=450+x | | 2z=z+29 | | 5m+2n+6m+8n= | | 4(3-9x)-6(2x-4)=-12 | | 4(x-2)=3x+18 | | 7x+4=(-2x)+1+9x-5 | | x-y-10=3x+y+6 | | -7(x+4)+2=-28-6x | | 7+N=5+12 | | 4x-4=4(2x-1) | | 8-4y=2 | | 10[x+85]=25 | | 29(x+3)=15 | | p+54=3p | | 5(3-6b)=-20 | | 7log(2x+4)=14 | | 1-2sqrt(x)=0 | | 2v=v+24 | | 3m+8n=12 | | 2v=v+4 | | 3x=450+x | | q+4=3q | | 3*11(2*n)=(3*2)*5 | | 5b+7-9=-2b+19 | | 3k+5k=-21 | | 6x-7-8=59 |

Equations solver categories