x^2-x+400=0

Simple and best practice solution for x^2-x+400=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-x+400=0 equation:


Simplifying
x2 + -1x + 400 = 0

Reorder the terms:
400 + -1x + x2 = 0

Solving
400 + -1x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-400' to each side of the equation.
400 + -1x + -400 + x2 = 0 + -400

Reorder the terms:
400 + -400 + -1x + x2 = 0 + -400

Combine like terms: 400 + -400 = 0
0 + -1x + x2 = 0 + -400
-1x + x2 = 0 + -400

Combine like terms: 0 + -400 = -400
-1x + x2 = -400

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -400 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -400 + 0.25

Combine like terms: -400 + 0.25 = -399.75
0.25 + -1x + x2 = -399.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -399.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4y-5+y+45=7y+40-5y | | 3x+17=21 | | 3x+10=13y | | 10x^2+90=0 | | 2(0)-y=-3 | | x-.10(x)=240 | | -7x-12x=76 | | xy-2y-4x=0 | | z+2/7+3/2 | | 4x*x+1=15 | | 174-6x=39x+19 | | 7-9x=79-23x | | -4+y=4 | | 13x-268=4x-7 | | -60-7x=7x+25 | | (2x-9)(x+6)= | | 69-6x=9x-24 | | 1+7x=78 | | 6x^2+25x-21=0 | | 480=(x+2)(x)(6) | | 9x^2=x^4 | | 3(x-2)-2(x-3)=x/2 | | 105-6x=21x+15 | | x^2+40x+100=0 | | 1/14(3X-2)=(X+10)/10 | | 4x+28=11x-28 | | s^2=-16 | | 4x-9+2*(2-3x)=5-3(x-4) | | (x+2)*x=195 | | 4x+32=12x-18 | | x^2-19x+18= | | (b-5)(b-5)= |

Equations solver categories