s^2+6s-10=8

Simple and best practice solution for s^2+6s-10=8 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 s^2+6s-10=8 equation:


Simplifying
s2 + 6s + -10 = 8

Reorder the terms:
-10 + 6s + s2 = 8

Solving
-10 + 6s + s2 = 8

Solving for variable 's'.

Reorder the terms:
-10 + -8 + 6s + s2 = 8 + -8

Combine like terms: -10 + -8 = -18
-18 + 6s + s2 = 8 + -8

Combine like terms: 8 + -8 = 0
-18 + 6s + s2 = 0

Begin completing the square.

Move the constant term to the right:

Add '18' to each side of the equation.
-18 + 6s + 18 + s2 = 0 + 18

Reorder the terms:
-18 + 18 + 6s + s2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 6s + s2 = 0 + 18
6s + s2 = 0 + 18

Combine like terms: 0 + 18 = 18
6s + s2 = 18

The s term is 6s.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6s + 9 + s2 = 18 + 9

Reorder the terms:
9 + 6s + s2 = 18 + 9

Combine like terms: 18 + 9 = 27
9 + 6s + s2 = 27

Factor a perfect square on the left side:
(s + 3)(s + 3) = 27

Calculate the square root of the right side: 5.196152423

Break this problem into two subproblems by setting 
(s + 3) equal to 5.196152423 and -5.196152423.

Subproblem 1

s + 3 = 5.196152423 Simplifying s + 3 = 5.196152423 Reorder the terms: 3 + s = 5.196152423 Solving 3 + s = 5.196152423 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + s = 5.196152423 + -3 Combine like terms: 3 + -3 = 0 0 + s = 5.196152423 + -3 s = 5.196152423 + -3 Combine like terms: 5.196152423 + -3 = 2.196152423 s = 2.196152423 Simplifying s = 2.196152423

Subproblem 2

s + 3 = -5.196152423 Simplifying s + 3 = -5.196152423 Reorder the terms: 3 + s = -5.196152423 Solving 3 + s = -5.196152423 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + s = -5.196152423 + -3 Combine like terms: 3 + -3 = 0 0 + s = -5.196152423 + -3 s = -5.196152423 + -3 Combine like terms: -5.196152423 + -3 = -8.196152423 s = -8.196152423 Simplifying s = -8.196152423

Solution

The solution to the problem is based on the solutions from the subproblems. s = {2.196152423, -8.196152423}

See similar equations:

| 30y+8=14 | | s^2+12s-29=10 | | -16x^2=8x-5 | | n^2+n+1=0 | | s^2+12s-11=35 | | -12x-14=-110 | | 4x-5=3x+0 | | -32+6(3y+4)=-(-5y+38)+3x | | a/3+5=16 | | (0.31)x(2.7)= | | 8x^3=50x | | 4x^2=-24x-28 | | m^2+4x+3=0 | | lny=6 | | 3m-5=19 | | 2*b+1=5 | | 16x^2=52x | | 3x^2-6x+2=y | | g^2-16g+37=0 | | 6*b-1=-7 | | 16x^2=8x+2 | | 2x+2x=169 | | 13p+9q=93 | | g^2-10g+20=0 | | log(7)(x)+log(7)(x+6)=1 | | 2x+2y+3x+3y= | | f(x)=x^2+8x+11 | | g^2-16g+29=0 | | 6=-3+3 | | -9x^2=6x-5 | | g^2-10g+23=0 | | -6b+12=30 |

Equations solver categories