-x^2+2x-3=0

Simple and best practice solution for -x^2+2x-3=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-3=0 equation:


Simplifying
-1x2 + 2x + -3 = 0

Reorder the terms:
-3 + 2x + -1x2 = 0

Solving
-3 + 2x + -1x2 = 0

Solving for variable 'x'.

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:

| x=4m*4m | | .05(4-x)+.1x=.32 | | 9a^2+6a=-1 | | Y=-0.5+4 | | y-3=12 | | y=(2m+1)(2m-1) | | -8q^2=6p-1 | | Z=-13.9+(-12.5) | | 6xm+3=2xm-9 | | 6y^2+1=-3y | | .22(x+6)=.2x+1.8 | | 4a=3b+3 | | x+3(2x-1)=4(2x+1) | | 7p+2q=16 | | 12x^2-2x=4 | | 4b-4=3b+3 | | -3t^2-5=-7t | | -2x+5y=10 | | x*x+x*x=1 | | u(u-5)+8u=u(u+2)-4 | | 8(3u+1)=4(b+3)-9 | | 5x-2=12-2x | | x*x+y*y=1 | | 4x-10=42 | | 7.4+(-3.9)=y | | (10x-9)=(8x+11) | | 5x+11=9x+15 | | 9-(2x+6)=-9 | | 9x+6=78 | | 2q^2-6=-4q | | x^4-3x^3-3x^2+65x=0 | | -2r^2-5r-2=0 |

Equations solver categories