6x-x^2-18=0

Simple and best practice solution for 6x-x^2-18=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 6x-x^2-18=0 equation:


Simplifying
6x + -1x2 + -18 = 0

Reorder the terms:
-18 + 6x + -1x2 = 0

Solving
-18 + 6x + -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'.
18 + -6x + x2 = 0

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + -6x + -18 + x2 = 0 + -18

Reorder the terms:
18 + -18 + -6x + x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -6x + x2 = 0 + -18
-6x + x2 = 0 + -18

Combine like terms: 0 + -18 = -18
-6x + x2 = -18

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -18 + 9

Reorder the terms:
9 + -6x + x2 = -18 + 9

Combine like terms: -18 + 9 = -9
9 + -6x + x2 = -9

Factor a perfect square on the left side:
(x + -3)(x + -3) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -4j-(-5)=-21 | | 8x+56=6x | | Cos(90-x)+sin^2x=0 | | (5x^2-y)dx+xdy=0 | | 8x-56=6x | | (2x^3+y)dx-xdy=0 | | 30568900000-1500000x=3000000000 | | 9x+9=8x+32 | | (4x-25)=(x+3) | | 2(x+1)-6=3x-14 | | -6sin^2x-8-17cosx=0 | | m=2(2,4) | | 3p^4=4p | | 5+2x=3x+15 | | 12X-8x-6-9=0 | | 5z-8=13 | | 4x+14=x+23 | | -8n+14=-3(4n+6) | | 3(-0.75)-2(-0.75-4)+7=12-3(-0.75) | | 30568900000+-1500000x=2085000000+5550000x | | x^5-3x^4-x^3+3x^2=0 | | 3(2x+4)=-4-14 | | 12X*x-8x-6-9=0 | | 2x+y=y+3 | | 30568900000-1500000x=2085000000+5550000x | | 7y-15y^2=0 | | 17+4b=-9b+17 | | 5.45x+4.4=1.12x+1.6 | | 12y^3=15y^2 | | cos(8x)+sin(5x)=1 | | x^2-2ix-1=0 | | .55=ln(y) |

Equations solver categories