y^2+8y=6

Simple and best practice solution for y^2+8y=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 y^2+8y=6 equation:


Simplifying
y2 + 8y = 6

Reorder the terms:
8y + y2 = 6

Solving
8y + y2 = 6

Solving for variable 'y'.

Reorder the terms:
-6 + 8y + y2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 8y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '6' to each side of the equation.
-6 + 8y + 6 + y2 = 0 + 6

Reorder the terms:
-6 + 6 + 8y + y2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 8y + y2 = 0 + 6
8y + y2 = 0 + 6

Combine like terms: 0 + 6 = 6
8y + y2 = 6

The y term is 8y.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8y + 16 + y2 = 6 + 16

Reorder the terms:
16 + 8y + y2 = 6 + 16

Combine like terms: 6 + 16 = 22
16 + 8y + y2 = 22

Factor a perfect square on the left side:
(y + 4)(y + 4) = 22

Calculate the square root of the right side: 4.69041576

Break this problem into two subproblems by setting 
(y + 4) equal to 4.69041576 and -4.69041576.

Subproblem 1

y + 4 = 4.69041576 Simplifying y + 4 = 4.69041576 Reorder the terms: 4 + y = 4.69041576 Solving 4 + y = 4.69041576 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = 4.69041576 + -4 Combine like terms: 4 + -4 = 0 0 + y = 4.69041576 + -4 y = 4.69041576 + -4 Combine like terms: 4.69041576 + -4 = 0.69041576 y = 0.69041576 Simplifying y = 0.69041576

Subproblem 2

y + 4 = -4.69041576 Simplifying y + 4 = -4.69041576 Reorder the terms: 4 + y = -4.69041576 Solving 4 + y = -4.69041576 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = -4.69041576 + -4 Combine like terms: 4 + -4 = 0 0 + y = -4.69041576 + -4 y = -4.69041576 + -4 Combine like terms: -4.69041576 + -4 = -8.69041576 y = -8.69041576 Simplifying y = -8.69041576

Solution

The solution to the problem is based on the solutions from the subproblems. y = {0.69041576, -8.69041576}

See similar equations:

| 3(7-5st)= | | 10=y-18 | | 3(x-1)+2(x+1)=3x+12 | | 2m^2+34m=0 | | 4-3(-2b+2)=4(2b-4) | | -21=9(-1)-15-3(-1) | | (x^3+y^2)(x^3-y^2)=0 | | y=900-30x | | 4q+2=10 | | -16m^2+24m-5=0 | | 4p+3=15 | | (x+5)=10(x-3) | | 12-3c+9c-5=-35 | | 6+x^2-5x=0 | | (X*80-204)+58.56+16+2+2+9=182.26 | | (u/5)+6=9 | | -4m-12m+7m=-27 | | 3m+3=18 | | (x^5+y^5)(x^5-y^5)=0 | | 3b+4=16 | | -10=5(-6-x) | | 2x+5=10+x | | 2x^4+3x^3-x^2+5x-1=0 | | t^2-0.5t+0.3=0 | | -3(x+2)=-42 | | 2z+6=8 | | -3c+18=8c-15 | | -3c+18=8-15 | | (x-2)(x+4)(x+6)=0 | | 9k+6=11k+14 | | 24.5t-49t^2=19.6 | | 5d+2=3d+8 |

Equations solver categories