2(s+3)4s-5=s

Simple and best practice solution for 2(s+3)4s-5=s 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 2(s+3)4s-5=s equation:


Simplifying
2(s + 3) * 4s + -5 = s

Reorder the terms:
2(3 + s) * 4s + -5 = s

Reorder the terms for easier multiplication:
2 * 4s(3 + s) + -5 = s

Multiply 2 * 4
8s(3 + s) + -5 = s
(3 * 8s + s * 8s) + -5 = s
(24s + 8s2) + -5 = s

Reorder the terms:
-5 + 24s + 8s2 = s

Solving
-5 + 24s + 8s2 = s

Solving for variable 's'.

Reorder the terms:
-5 + 24s + -1s + 8s2 = s + -1s

Combine like terms: 24s + -1s = 23s
-5 + 23s + 8s2 = s + -1s

Combine like terms: s + -1s = 0
-5 + 23s + 8s2 = 0

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

Divide each side by '8'.
-0.625 + 2.875s + s2 = 0

Move the constant term to the right:

Add '0.625' to each side of the equation.
-0.625 + 2.875s + 0.625 + s2 = 0 + 0.625

Reorder the terms:
-0.625 + 0.625 + 2.875s + s2 = 0 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + 2.875s + s2 = 0 + 0.625
2.875s + s2 = 0 + 0.625

Combine like terms: 0 + 0.625 = 0.625
2.875s + s2 = 0.625

The s term is 2.875s.  Take half its coefficient (1.4375).
Square it (2.06640625) and add it to both sides.

Add '2.06640625' to each side of the equation.
2.875s + 2.06640625 + s2 = 0.625 + 2.06640625

Reorder the terms:
2.06640625 + 2.875s + s2 = 0.625 + 2.06640625

Combine like terms: 0.625 + 2.06640625 = 2.69140625
2.06640625 + 2.875s + s2 = 2.69140625

Factor a perfect square on the left side:
(s + 1.4375)(s + 1.4375) = 2.69140625

Calculate the square root of the right side: 1.640550594

Break this problem into two subproblems by setting 
(s + 1.4375) equal to 1.640550594 and -1.640550594.

Subproblem 1

s + 1.4375 = 1.640550594 Simplifying s + 1.4375 = 1.640550594 Reorder the terms: 1.4375 + s = 1.640550594 Solving 1.4375 + s = 1.640550594 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-1.4375' to each side of the equation. 1.4375 + -1.4375 + s = 1.640550594 + -1.4375 Combine like terms: 1.4375 + -1.4375 = 0.0000 0.0000 + s = 1.640550594 + -1.4375 s = 1.640550594 + -1.4375 Combine like terms: 1.640550594 + -1.4375 = 0.203050594 s = 0.203050594 Simplifying s = 0.203050594

Subproblem 2

s + 1.4375 = -1.640550594 Simplifying s + 1.4375 = -1.640550594 Reorder the terms: 1.4375 + s = -1.640550594 Solving 1.4375 + s = -1.640550594 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-1.4375' to each side of the equation. 1.4375 + -1.4375 + s = -1.640550594 + -1.4375 Combine like terms: 1.4375 + -1.4375 = 0.0000 0.0000 + s = -1.640550594 + -1.4375 s = -1.640550594 + -1.4375 Combine like terms: -1.640550594 + -1.4375 = -3.078050594 s = -3.078050594 Simplifying s = -3.078050594

Solution

The solution to the problem is based on the solutions from the subproblems. s = {0.203050594, -3.078050594}

See similar equations:

| 50x-50=100x+100 | | 1.5+1.5x=-2(-x+1) | | -4(7-4x)=52 | | v+16=u | | 7x-(2x-3)=9x+12 | | 7r+6=3(-8-r) | | 7(2+3r)-2r=36+8r | | (17.1+12.6)=6(17.1)+6(12.6) | | X+X*0.3=500 | | 7x-2x-3=9x+12 | | 6x+7x-14=5x+6x | | 14.5=-16x-4(-3x-4) | | -3(u+8)=-5u-12 | | -3(8x-1)+x=3+8x | | 5x-6+2=7x-6 | | -w+8-(w-4)=3w-4(w-8) | | 13-5x=4-8x | | 5x-3(x+6)+12=4+2(x-2)-(x-6) | | 4x+46=-6(x-6) | | 15x-30=5x+5 | | 3x+20x=1500 | | 4v+2(3v+2)=-26+5v | | 20=-4p | | -1x-3+6x=-43 | | 2x(x-1)(3+x)= | | 6x+2x=4x | | 3(-8+6x)=8x-4 | | 87=-3(y-7) | | 45k+27=54+9k | | -3(x+6)=4-(-4) | | 4x+8-2x=-10 | | 2*(a-1+3a)-a+5*(-a)=-2a+3*(a+4) |

Equations solver categories