3s^2+23s+40=0

Simple and best practice solution for 3s^2+23s+40=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 3s^2+23s+40=0 equation: 


Simplifying
3s2 + 23s + 40 = 0

Reorder the terms:
40 + 23s + 3s2 = 0

Solving
40 + 23s + 3s2 = 0

Solving for variable 's'.

Factor a trinomial.
(5 + s)(8 + 3s) = 0


Subproblem 1
Set the factor '(5 + s)' equal to zero and attempt to solve:

Simplifying
5 + s = 0

Solving
5 + s = 0

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

Add '-5' to each side of the equation.
5 + -5 + s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + s = 0 + -5
s = 0 + -5

Combine like terms: 0 + -5 = -5
s = -5

Simplifying
s = -5

Subproblem 2
Set the factor '(8 + 3s)' equal to zero and attempt to solve:

Simplifying
8 + 3s = 0

Solving
8 + 3s = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3s = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3s = 0 + -8
3s = 0 + -8

Combine like terms: 0 + -8 = -8
3s = -8

Divide each side by '3'.
s = -2.666666667

Simplifying
s = -2.666666667
Solution
s = {-5, -2.666666667}

See similar equations:

| (5x^2+7)-(x^2+2x+4)= | | 4x-8=-80 | | 9(n-1)=6(n+2)-n | | 8-(3q+4)=6-q | | 225x^2+4=0 | | -2(3+x)=12 | | 8(b+2)=9b | | 2(x+2)-3=2+1 | | x=5y-6 | | (x^2+9x-4)-(x^2-2x+1)= | | 0.5b=-2.3 | | 2r+13=37 | | 2x-5=4x-8 | | 3(x+1)-2x=-6 | | 0.5=-2.3 | | 3x=-10 | | 5m+17=52 | | -25(x-4)=-55(x-10) | | -5+14+2x^2=0 | | po= | | 7d-6=8 | | -5+14+2x^2=o | | -5(1-2x)+4(3-x)=7(3+x) | | x+0=5 | | 999999+99999-66= | | 14-20x=-44-8x | | 5-3(-1+b)=2b | | (3x^2-4x+2)-(x^2-2x)= | | -3-(t-1)=3t | | (x-3)-(x+2)+2(x-1)-5=0 | | 4z=-3z | | 3b-4=5 |

Equations solver categories