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

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


Simplifying
(x2 + -2x + -2) = 0

Reorder the terms:
(-2 + -2x + x2) = 0

Remove parenthesis around (-2 + -2x + x2)
-2 + -2x + x2 = 0

Solving
-2 + -2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + -2x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + -2x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -2x + x2 = 0 + 2
-2x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
-2x + x2 = 2

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = 2 + 1

Reorder the terms:
1 + -2x + x2 = 2 + 1

Combine like terms: 2 + 1 = 3
1 + -2x + x2 = 3

Factor a perfect square on the left side:
(x + -1)(x + -1) = 3

Calculate the square root of the right side: 1.732050808

Break this problem into two subproblems by setting 
(x + -1) equal to 1.732050808 and -1.732050808.

Subproblem 1

x + -1 = 1.732050808 Simplifying x + -1 = 1.732050808 Reorder the terms: -1 + x = 1.732050808 Solving -1 + x = 1.732050808 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 1.732050808 + 1 Combine like terms: -1 + 1 = 0 0 + x = 1.732050808 + 1 x = 1.732050808 + 1 Combine like terms: 1.732050808 + 1 = 2.732050808 x = 2.732050808 Simplifying x = 2.732050808

Subproblem 2

x + -1 = -1.732050808 Simplifying x + -1 = -1.732050808 Reorder the terms: -1 + x = -1.732050808 Solving -1 + x = -1.732050808 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -1.732050808 + 1 Combine like terms: -1 + 1 = 0 0 + x = -1.732050808 + 1 x = -1.732050808 + 1 Combine like terms: -1.732050808 + 1 = -0.732050808 x = -0.732050808 Simplifying x = -0.732050808

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.732050808, -0.732050808}

See similar equations:

| (x+9)(x+19)=0 | | b^2-2b-54=7 | | 2y-6x=3 | | 36x^2+49= | | Y=2+1.5x | | 12m-14=46 | | 6(4x+9)-12x= | | 2x+3-x=15 | | 15x^3-14x^2+3x= | | 91=7(7+3x) | | 6x+18=20x+1 | | 6(4x+9)-12= | | x+3x=x+x+10 | | -.8x^2-.8x-.2=0 | | 12+g=-20 | | 5.63+p+6.74= | | (2e^4x)=8 | | 2e^4x=8 | | -2y^2=Y+3 | | -32+j+16-4j= | | 112x^2-252=0 | | -3.5t^2+4.7x-2.9=0 | | -3y=48 | | 90x-120x+40=0 | | -2y^2+Y+3=0 | | 15y^5-25y^4+35y^3= | | 3y-2=0 | | -80=16n | | -15=m+7 | | 3x^2+2=66 | | 3y-2=-1 | | 40x^5-6x^4-4x^3= |

Equations solver categories