x^2-4x-4+1=0

Simple and best practice solution for x^2-4x-4+1=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^2-4x-4+1=0 equation:


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

Reorder the terms:
-4 + 1 + -4x + x2 = 0

Combine like terms: -4 + 1 = -3
-3 + -4x + x2 = 0

Solving
-3 + -4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '3' to each side of the equation.
-3 + -4x + 3 + x2 = 0 + 3

Reorder the terms:
-3 + 3 + -4x + x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4x + x2 = 0 + 3
-4x + x2 = 0 + 3

Combine like terms: 0 + 3 = 3
-4x + x2 = 3

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 = 3 + 4

Reorder the terms:
4 + -4x + x2 = 3 + 4

Combine like terms: 3 + 4 = 7
4 + -4x + x2 = 7

Factor a perfect square on the left side:
(x + -2)(x + -2) = 7

Calculate the square root of the right side: 2.645751311

Break this problem into two subproblems by setting 
(x + -2) equal to 2.645751311 and -2.645751311.

Subproblem 1

x + -2 = 2.645751311 Simplifying x + -2 = 2.645751311 Reorder the terms: -2 + x = 2.645751311 Solving -2 + x = 2.645751311 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 = 2.645751311 + 2 Combine like terms: -2 + 2 = 0 0 + x = 2.645751311 + 2 x = 2.645751311 + 2 Combine like terms: 2.645751311 + 2 = 4.645751311 x = 4.645751311 Simplifying x = 4.645751311

Subproblem 2

x + -2 = -2.645751311 Simplifying x + -2 = -2.645751311 Reorder the terms: -2 + x = -2.645751311 Solving -2 + x = -2.645751311 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 = -2.645751311 + 2 Combine like terms: -2 + 2 = 0 0 + x = -2.645751311 + 2 x = -2.645751311 + 2 Combine like terms: -2.645751311 + 2 = -0.645751311 x = -0.645751311 Simplifying x = -0.645751311

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.645751311, -0.645751311}

See similar equations:

| =-0.005x^2+0.25x | | 5y+1=1 | | 10=6+x | | -4(3x-5)=-88 | | 3x^2-30x+77=0 | | 7(4x-7)=-273 | | (10x^3+9x^2-14x+3)= | | 7a+12=9 | | -6(2x+10)=-96 | | 3(-3-4x)=-9 | | 6x-(x-2)=3x+11-x | | 12x+4=6x-9 | | =3x^2+4x+3 | | 26+5x-2x-3=13x+3 | | 7+12=9 | | 4x-9=51-x | | 3z+(2z-5)=(z-3)+22 | | 3z+(2z-5)=z-3+22 | | =x^2+9x+20 | | 7x+(x+1)=3x+19 | | 6y-(y-1)=17+y | | 10+7x=6x+23 | | x^2+2x+x^2-x=2 | | 1.5=7+2k | | 2(-1x-5)=-14 | | -4(9-5x)=124 | | 2(5x-9)=102 | | 4x-3x-1=5 | | 5.2=5k-1.3 | | 7x-8=46+x | | 2(x-3)=5(x-1) | | 7-6x=5x+117 |

Equations solver categories