5(2s-1)-3(s+2)s=6

Simple and best practice solution for 5(2s-1)-3(s+2)s=6 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 5(2s-1)-3(s+2)s=6 equation:


Simplifying
5(2s + -1) + -3(s + 2) * s = 6

Reorder the terms:
5(-1 + 2s) + -3(s + 2) * s = 6
(-1 * 5 + 2s * 5) + -3(s + 2) * s = 6
(-5 + 10s) + -3(s + 2) * s = 6

Reorder the terms:
-5 + 10s + -3(2 + s) * s = 6

Reorder the terms for easier multiplication:
-5 + 10s + -3s(2 + s) = 6
-5 + 10s + (2 * -3s + s * -3s) = 6
-5 + 10s + (-6s + -3s2) = 6

Combine like terms: 10s + -6s = 4s
-5 + 4s + -3s2 = 6

Solving
-5 + 4s + -3s2 = 6

Solving for variable 's'.

Reorder the terms:
-5 + -6 + 4s + -3s2 = 6 + -6

Combine like terms: -5 + -6 = -11
-11 + 4s + -3s2 = 6 + -6

Combine like terms: 6 + -6 = 0
-11 + 4s + -3s2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
3.666666667 + -1.333333333s + s2 = 0

Move the constant term to the right:

Add '-3.666666667' to each side of the equation.
3.666666667 + -1.333333333s + -3.666666667 + s2 = 0 + -3.666666667

Reorder the terms:
3.666666667 + -3.666666667 + -1.333333333s + s2 = 0 + -3.666666667

Combine like terms: 3.666666667 + -3.666666667 = 0.000000000
0.000000000 + -1.333333333s + s2 = 0 + -3.666666667
-1.333333333s + s2 = 0 + -3.666666667

Combine like terms: 0 + -3.666666667 = -3.666666667
-1.333333333s + s2 = -3.666666667

The s term is -1.333333333s.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333s + 0.4444444442 + s2 = -3.666666667 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333s + s2 = -3.666666667 + 0.4444444442

Combine like terms: -3.666666667 + 0.4444444442 = -3.2222222228
0.4444444442 + -1.333333333s + s2 = -3.2222222228

Factor a perfect square on the left side:
(s + -0.6666666665)(s + -0.6666666665) = -3.2222222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 10x^2-14x-3= | | 12y+2=5 | | x(x-1)=50 | | 258.75=(3.14)(x^2)(12) | | 10x^2-14-3= | | 9x-32=5x-4 | | 11(9-2x)=-(12x+11) | | -2a+5=-3 | | P(2,4),y=1/2x-6 | | 5+2f=g | | 2/x^2/10/x^5 | | 352=7x^2+9 | | 9+3=312 | | -26/-.75 | | 8(x+7)=-x+29 | | (x+5)-2(4x-1)=o | | √6/27 | | 8x+12xy=-24 | | 3(2a+1)-8b= | | 2k=23333 | | 1n=799 | | √6/27=0 | | 1n=2 | | -13/18x=5 | | -26=-0.75q | | 7r=5(r+18) | | p/t-s/t=1 | | -7b+9=8(-5b-3) | | 3x^2-11x+6=13 | | 4-7x=2x^2 | | -.6z=.26 | | 32=6(v+6)-8v |

Equations solver categories