x(2-x)=3

Simple and best practice solution for x(2-x)=3 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-x)=3 equation:


Simplifying
x(2 + -1x) = 3
(2 * x + -1x * x) = 3
(2x + -1x2) = 3

Solving
2x + -1x2 = 3

Solving for variable 'x'.

Reorder the terms:
-3 + 2x + -1x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 2x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
3 + -2x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -2x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x + x2 = 0 + -3
-2x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2x + x2 = -3

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 = -3 + 1

Reorder the terms:
1 + -2x + x2 = -3 + 1

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

Factor a perfect square on the left side:
(x + -1)(x + -1) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -3z^2+54z=z^3 | | 2d+1=3d+7 | | 2x-x^2=3 | | (p-3)(p-8)=-4 | | Z+4+5-10=90 | | X^2-6x-4n^2-32n=0 | | -x+51=7x+3 | | 0.25-0.2=0.15y+1-0.5y | | U=27n+177 | | 7y-23=-30+8y | | 16=2+31x-16x^2 | | F(x)=-16x^2-4x+1190 | | 4+(-15)-7-(-2)= | | h=160t-16t | | -t/2=7 | | 6z^2-17z+12=0 | | 8y+7z= | | 38.7m=309.7 | | x^2-2x-1=3x+4x+x^2 | | 5x+1=5x-20 | | Q=20+-1a | | -7x+89=-x+5 | | x^2-2x-1=3x+4+x^2 | | 78-3Q=18+3a | | -5x+101=11x-7-4x | | 3v^2+15=0 | | -3(4w-5)+2w=5(w+4) | | 24y^2-6y-1=0 | | 5w^9-16w^8-35w^7=9w^8-5w^7 | | -4=4(v+8)-8v | | 3x^1/2-2x^1/4=1 | | -2(-x+5)=16 |

Equations solver categories