x^2-2x+2=2x

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


Simplifying
x2 + -2x + 2 = 2x

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

Solving
2 + -2x + x2 = 2x

Solving for variable 'x'.

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

Combine like terms: -2x + -2x = -4x
2 + -4x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -4x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -4x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -4x + x2 = 0 + -2
-4x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-4x + x2 = -2

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 = -2 + 4

Reorder the terms:
4 + -4x + x2 = -2 + 4

Combine like terms: -2 + 4 = 2
4 + -4x + x2 = 2

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

Calculate the square root of the right side: 1.414213562

Break this problem into two subproblems by setting 
(x + -2) equal to 1.414213562 and -1.414213562.

Subproblem 1

x + -2 = 1.414213562 Simplifying x + -2 = 1.414213562 Reorder the terms: -2 + x = 1.414213562 Solving -2 + x = 1.414213562 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 = 1.414213562 + 2 Combine like terms: -2 + 2 = 0 0 + x = 1.414213562 + 2 x = 1.414213562 + 2 Combine like terms: 1.414213562 + 2 = 3.414213562 x = 3.414213562 Simplifying x = 3.414213562

Subproblem 2

x + -2 = -1.414213562 Simplifying x + -2 = -1.414213562 Reorder the terms: -2 + x = -1.414213562 Solving -2 + x = -1.414213562 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 = -1.414213562 + 2 Combine like terms: -2 + 2 = 0 0 + x = -1.414213562 + 2 x = -1.414213562 + 2 Combine like terms: -1.414213562 + 2 = 0.585786438 x = 0.585786438 Simplifying x = 0.585786438

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.414213562, 0.585786438}

See similar equations:

| -272=8(8+6a) | | 9+4b=-59 | | -121=-3(8b-3)-2b | | 99=-2k+5(2k+7) | | 6x^2=120-6x | | 1/2k-(k+1/3)=1/6(k+2) | | 5y-2y+y+29=6y+30-3y | | 12x^2-24x= | | 189=5-8(7+6n) | | 2x+5=9x+3-4 | | -112=-7(8p-8) | | 5(x-4)-3(x+8)+6x=20 | | -2x-7(x+8)=-119 | | |y|-5=1 | | 4(3-x)=5(2x+1) | | -98=2+4(3-7x) | | -5+5m=4m+3 | | 0.12*x+x*x=0.9964 | | 10-6n=-4n-4 | | 9x-6/3 | | x^3=-0.125 | | 10-x+2-8x=-7x-4x | | -3x+2(-4x+5)=7 | | 3x+1=x-6 | | 14-3p=p+1-3 | | 0.0036+0.12*x+x*x=1 | | 2/3x+3=6 | | 25x^4/15x^3=0 | | 25x^4/15x^3 | | 2x^2+2x-2=x-x^2 | | x^2+9x+10=6 | | 2/3+3 |

Equations solver categories