4s^2-192s-1840=0

Simple and best practice solution for 4s^2-192s-1840=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 4s^2-192s-1840=0 equation: 


Simplifying
4s2 + -192s + -1840 = 0

Reorder the terms:
-1840 + -192s + 4s2 = 0

Solving
-1840 + -192s + 4s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-460 + -48s + s2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-460 + -48s + s2)' equal to zero and attempt to solve:

Simplifying
-460 + -48s + s2 = 0

Solving
-460 + -48s + s2 = 0

Begin completing the square.

Move the constant term to the right:

Add '460' to each side of the equation.
-460 + -48s + 460 + s2 = 0 + 460

Reorder the terms:
-460 + 460 + -48s + s2 = 0 + 460

Combine like terms: -460 + 460 = 0
0 + -48s + s2 = 0 + 460
-48s + s2 = 0 + 460

Combine like terms: 0 + 460 = 460
-48s + s2 = 460

The s term is -48s.  Take half its coefficient (-24).
Square it (576) and add it to both sides.

Add '576' to each side of the equation.
-48s + 576 + s2 = 460 + 576

Reorder the terms:
576 + -48s + s2 = 460 + 576

Combine like terms: 460 + 576 = 1036
576 + -48s + s2 = 1036

Factor a perfect square on the left side:
(s + -24)(s + -24) = 1036

Calculate the square root of the right side: 32.186953879

Break this problem into two subproblems by setting 
(s + -24) equal to 32.186953879 and -32.186953879.


Subproblem 1
s + -24 = 32.186953879

Simplifying
s + -24 = 32.186953879

Reorder the terms:
-24 + s = 32.186953879

Solving
-24 + s = 32.186953879

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '24' to each side of the equation.
-24 + 24 + s = 32.186953879 + 24

Combine like terms: -24 + 24 = 0
0 + s = 32.186953879 + 24
s = 32.186953879 + 24

Combine like terms: 32.186953879 + 24 = 56.186953879
s = 56.186953879

Simplifying
s = 56.186953879


Subproblem 2
s + -24 = -32.186953879

Simplifying
s + -24 = -32.186953879

Reorder the terms:
-24 + s = -32.186953879

Solving
-24 + s = -32.186953879

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '24' to each side of the equation.
-24 + 24 + s = -32.186953879 + 24

Combine like terms: -24 + 24 = 0
0 + s = -32.186953879 + 24
s = -32.186953879 + 24

Combine like terms: -32.186953879 + 24 = -8.186953879
s = -8.186953879

Simplifying
s = -8.186953879


Solution
The solution to the problem is based on the solutions
from the subproblems.
s = {56.186953879, -8.186953879}
Solution
s = {56.186953879, -8.186953879}

See similar equations:

| 36(1-3x)=1/216 | | 2/3x-7/12x= | | 15b-5=125 | | -3x+-1(-3x)=-17 | | 60x-40-20x+10+50=0+100 | | Y-1=-4(x-6) | | 8*c=24+2xc | | 60x-40-20x+10+50=0 | | (6+x)x=(3+5)3 | | 5(-3x)=1/5 | | 7z+4z-10z=9 | | (-X+1)(X+6)=0 | | A=4-3*a | | 3*a=40+5 | | 16a-12a-3a+2a=15 | | 6-X=8-3 | | 19m-18m+4m-5m+m=19 | | 4f+6=8f-24 | | 15/x=1 | | t*t=(5+3)5 | | 216(3r)*(36r)=216 | | 6(k+3)2=(4k+5) | | 63=9d | | 5(3+2y)-7y=4 | | 2/x=32 | | 25(a)=1/125 | | t*t=(3+5)3 | | 3*2.8+y=17 | | Xy=720 | | 3(2.8)= | | x*2+5=37 | | ax=195 |

Equations solver categories