x^2-x+54=0

Simple and best practice solution for x^2-x+54=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+54=0 equation:


Simplifying
x2 + -1x + 54 = 0

Reorder the terms:
54 + -1x + x2 = 0

Solving
54 + -1x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-54' to each side of the equation.
54 + -1x + -54 + x2 = 0 + -54

Reorder the terms:
54 + -54 + -1x + x2 = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -1x + x2 = 0 + -54
-1x + x2 = 0 + -54

Combine like terms: 0 + -54 = -54
-1x + x2 = -54

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 = -54 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -54 + 0.25

Combine like terms: -54 + 0.25 = -53.75
0.25 + -1x + x2 = -53.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -53.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -7x+11+8x=5+x+6 | | 147x+185y=6 | | 5x+3(x-2)=18 | | 21x+75y=42 | | (X+40)+106=180 | | 7x+25y=14 | | x+7+42= | | -8x+8+9x=3+x+5 | | y=3x^2-6x+12 | | 152.50x+113.00y= | | 18+483x=21+462x | | 4j*-12=-1 | | 3(a+1)1-5=3a-2 | | 14=-1-3(2r+3) | | 5b-6+1=3+6b | | 42=9x-9 | | X*2=82 | | (5x)(4x)=90 | | (X+8)+33=180 | | -5+7(x)=-33 | | 5(2c-5)=7 | | 4(w+3)=w-13 | | 7e^8= | | (-0.7)(-8)(0.24)= | | 6-8(x)=-26 | | 29.79-x=-20.5 | | 4+45+53= | | 4y+2y=14+8 | | 3x+8=16+5x | | 125(9+x)=4 | | 49=8n | | 16t^2+64t+6=0 |

Equations solver categories