x^2+24x+384=0

Simple and best practice solution for x^2+24x+384=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+24x+384=0 equation:


Simplifying
x2 + 24x + 384 = 0

Reorder the terms:
384 + 24x + x2 = 0

Solving
384 + 24x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-384' to each side of the equation.
384 + 24x + -384 + x2 = 0 + -384

Reorder the terms:
384 + -384 + 24x + x2 = 0 + -384

Combine like terms: 384 + -384 = 0
0 + 24x + x2 = 0 + -384
24x + x2 = 0 + -384

Combine like terms: 0 + -384 = -384
24x + x2 = -384

The x term is 24x.  Take half its coefficient (12).
Square it (144) and add it to both sides.

Add '144' to each side of the equation.
24x + 144 + x2 = -384 + 144

Reorder the terms:
144 + 24x + x2 = -384 + 144

Combine like terms: -384 + 144 = -240
144 + 24x + x2 = -240

Factor a perfect square on the left side:
(x + 12)(x + 12) = -240

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| w(w-15)=100 | | 7x-154=1 | | 21=9d | | 6+7p-6p-5+7p-8= | | radx+18minusradx-15=3 | | 2x+6+5x-4=86 | | radx+18-radx-15=3 | | x^2+100x+50=0 | | 3x+3=6+6 | | -3.6+6.6(2.5x-7.7)= | | 5(-3+2x)=4x-39 | | 0=16t^2+32t+2 | | 10z-(3z-7)=17 | | -2(x-3)+4x+8=3(4-3x)+12x-9 | | -4*3/17 | | 7x-15=4x+13 | | 0.30x+0.20(150)=0.15(110) | | Ac=7x-15 | | 5x-7+10x-8=180 | | x^2+24x+320=0 | | W=-0.5v | | x-(x-4)=8 | | -6=17+x | | .5x+10=14.5 | | 3x+y=2x+33 | | 3/2(x-4)=7/6 | | lny+10y-4=0 | | 2x=3x-45 | | 10+5(z-2)=-2z+2 | | (x+20)(x-6)(13x+7)= | | 2/3=8W | | -4.2x+3.5y+2.6-5.9x-2.4y= |

Equations solver categories