(3s+20)(s+1)=-20

Simple and best practice solution for (3s+20)(s+1)=-20 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+20)(s+1)=-20 equation:


Simplifying
(3s + 20)(s + 1) = -20

Reorder the terms:
(20 + 3s)(s + 1) = -20

Reorder the terms:
(20 + 3s)(1 + s) = -20

Multiply (20 + 3s) * (1 + s)
(20(1 + s) + 3s * (1 + s)) = -20
((1 * 20 + s * 20) + 3s * (1 + s)) = -20
((20 + 20s) + 3s * (1 + s)) = -20
(20 + 20s + (1 * 3s + s * 3s)) = -20
(20 + 20s + (3s + 3s2)) = -20

Combine like terms: 20s + 3s = 23s
(20 + 23s + 3s2) = -20

Solving
20 + 23s + 3s2 = -20

Solving for variable 's'.

Reorder the terms:
20 + 20 + 23s + 3s2 = -20 + 20

Combine like terms: 20 + 20 = 40
40 + 23s + 3s2 = -20 + 20

Combine like terms: -20 + 20 = 0
40 + 23s + 3s2 = 0

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:

| 4x-8=5x-2 | | 9x+3=8x+19 | | p(p+1)=6 | | 2m^2-12m=2m-24 | | x^3-13x^2+36x=0 | | x+6=2x-8 | | 3x-5=x+3 | | 5m(5m+4)=-4 | | 2x^2-9x=26 | | 2x+6=19-3 | | 4x^2-21x=-5 | | 8x^2=-9x | | p^2=22p | | 2(2x+3)=4x-6 | | 5x+2=x+17 | | 10y-2=7+3y | | 8.4+x=-3.9 | | x-(-9)=-9 | | 49y^2-1=0 | | 32xl=288 | | -12=12+x | | t^2-25=0 | | 93xl=288 | | 15-(-x)=23 | | a^2-16a+55=0 | | 10x^3+5x^2-30x= | | 9x-4x+6=21 | | 5(x+3)-3=3x | | 5(x+3)-3=9 | | (x+4)(x+5)(x-8)=0 | | 64+x=70 | | x+17=50 |

Equations solver categories