4s^2+9s-28=0

Simple and best practice solution for 4s^2+9s-28=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+9s-28=0 equation: 


Simplifying
4s2 + 9s + -28 = 0

Reorder the terms:
-28 + 9s + 4s2 = 0

Solving
-28 + 9s + 4s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-4 + -1s)(7 + -4s) = 0


Subproblem 1
Set the factor '(-4 + -1s)' equal to zero and attempt to solve:

Simplifying
-4 + -1s = 0

Solving
-4 + -1s = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1s = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1s = 0 + 4
-1s = 0 + 4

Combine like terms: 0 + 4 = 4
-1s = 4

Divide each side by '-1'.
s = -4

Simplifying
s = -4

Subproblem 2
Set the factor '(7 + -4s)' equal to zero and attempt to solve:

Simplifying
7 + -4s = 0

Solving
7 + -4s = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4s = 0 + -7
-4s = 0 + -7

Combine like terms: 0 + -7 = -7
-4s = -7

Divide each side by '-4'.
s = 1.75

Simplifying
s = 1.75
Solution
s = {-4, 1.75}

See similar equations:

| 2x^2-12x+36=32 | | 6358.5=2r*3.14 | | 9x-6=-39 | | -x+11y-33=0 | | 144+(x^2)=144 | | 244.92=3.14r^2 | | x^2=2x-3 | | 200.96=3.14r^2 | | 19+[-3+(-4)]= | | 3x-(x+5)+x=180 | | 2826=3.14r^2 | | t=-3+5n | | 3(x-12)=6 | | 144+x^2=144 | | t=5n-3 | | 3(x-1)=9x-3(2x+1) | | 3y^3-22y^2+7y=0 | | Ln(x-1)+ln(5x)=3 | | X-35=7(2x-5)-13x | | x-35=x-35 | | x-7x=-7-6 | | 6-2[-4(2-7)-3(2-3)]= | | (x-4)(4x+5)=0 | | 121x^2-25=0 | | 2x+6=4x+6 | | 3x^2+8x+3=0 | | 3-7[7-(9y-4)]= | | 6x+5y=110000 | | 7=-4t | | 7(5y-4)+2(4y+6)= | | 7(5y-6)+2(4y+6)= | | 2-14=-8t+4t |

Equations solver categories