64-48s-9s^2=

Simple and best practice solution for 64-48s-9s^2= 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 64-48s-9s^2= equation: 


Simplifying
64 + -48s + -9s2 = 0

Solving
64 + -48s + -9s2 = 0

Solving for variable 's'.

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
-7.111111111 + 5.333333333s + s2 = 0

Move the constant term to the right:

Add '7.111111111' to each side of the equation.
-7.111111111 + 5.333333333s + 7.111111111 + s2 = 0 + 7.111111111

Reorder the terms:
-7.111111111 + 7.111111111 + 5.333333333s + s2 = 0 + 7.111111111

Combine like terms: -7.111111111 + 7.111111111 = 0.000000000
0.000000000 + 5.333333333s + s2 = 0 + 7.111111111
5.333333333s + s2 = 0 + 7.111111111

Combine like terms: 0 + 7.111111111 = 7.111111111
5.333333333s + s2 = 7.111111111

The s term is 5.333333333s.  Take half its coefficient (2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
5.333333333s + 7.111111113 + s2 = 7.111111111 + 7.111111113

Reorder the terms:
7.111111113 + 5.333333333s + s2 = 7.111111111 + 7.111111113

Combine like terms: 7.111111111 + 7.111111113 = 14.222222224
7.111111113 + 5.333333333s + s2 = 14.222222224

Factor a perfect square on the left side:
(s + 2.666666667)(s + 2.666666667) = 14.222222224

Calculate the square root of the right side: 3.771236167

Break this problem into two subproblems by setting 
(s + 2.666666667) equal to 3.771236167 and -3.771236167.


Subproblem 1
s + 2.666666667 = 3.771236167

Simplifying
s + 2.666666667 = 3.771236167

Reorder the terms:
2.666666667 + s = 3.771236167

Solving
2.666666667 + s = 3.771236167

Solving for variable 's'.

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

Add '-2.666666667' to each side of the equation.
2.666666667 + -2.666666667 + s = 3.771236167 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + s = 3.771236167 + -2.666666667
s = 3.771236167 + -2.666666667

Combine like terms: 3.771236167 + -2.666666667 = 1.1045695
s = 1.1045695

Simplifying
s = 1.1045695


Subproblem 2
s + 2.666666667 = -3.771236167

Simplifying
s + 2.666666667 = -3.771236167

Reorder the terms:
2.666666667 + s = -3.771236167

Solving
2.666666667 + s = -3.771236167

Solving for variable 's'.

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

Add '-2.666666667' to each side of the equation.
2.666666667 + -2.666666667 + s = -3.771236167 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + s = -3.771236167 + -2.666666667
s = -3.771236167 + -2.666666667

Combine like terms: -3.771236167 + -2.666666667 = -6.437902834
s = -6.437902834

Simplifying
s = -6.437902834


Solution
The solution to the problem is based on the solutions
from the subproblems.
s = {1.1045695, -6.437902834}

See similar equations:

| -2(x-1)=-7x+17 | | 6(x+6)=5(x+18) | | 5n-4=10n+16 | | 6(x-3)=90-6x | | -2(x-1)=-7+17 | | 3x+5+14x+1+90=180 | | 10+7x=76-x | | -2=3x-11 | | 4x-1=125-10x | | -5v+21=-8(v-3) | | 8x-5=3x+1 | | (x+6)(x-2)=0 | | 2(x-2)= | | 3x+5+14x=180 | | (2x-3)(3x-9)=0 | | 3x+5+14x=90 | | 7+2y-3y+5y+2= | | 6x+5=7-2x | | 3x+5+14x+90=180 | | -46-7x=10+22 | | (x-1)(x+1)=x^2 | | 6c-3c+4-1+c= | | 3x+5=14x | | 10x-16=94 | | 5(x+4)=-3x-36 | | 7x+3-5+2x+3x= | | 9x-3=6x+8 | | 14-9x=25-16x | | 8d+4=5d+10 | | 5x^2-18x+9= | | 3x+2=-13 | | b^2+b=20 |

Equations solver categories