-y^2+8y+16=0

Simple and best practice solution for -y^2+8y+16=0 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+16=0 equation: 


Simplifying
-1y2 + 8y + 16 = 0

Reorder the terms:
16 + 8y + -1y2 = 0

Solving
16 + 8y + -1y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-16 + -8y + y2 = 0

Move the constant term to the right:

Add '16' to each side of the equation.
-16 + -8y + 16 + y2 = 0 + 16

Reorder the terms:
-16 + 16 + -8y + y2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -8y + y2 = 0 + 16
-8y + y2 = 0 + 16

Combine like terms: 0 + 16 = 16
-8y + y2 = 16

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 = 16 + 16

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

Combine like terms: 16 + 16 = 32
16 + -8y + y2 = 32

Factor a perfect square on the left side:
(y + -4)(y + -4) = 32

Calculate the square root of the right side: 5.656854249

Break this problem into two subproblems by setting 
(y + -4) equal to 5.656854249 and -5.656854249.


Subproblem 1
y + -4 = 5.656854249

Simplifying
y + -4 = 5.656854249

Reorder the terms:
-4 + y = 5.656854249

Solving
-4 + y = 5.656854249

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 = 5.656854249 + 4

Combine like terms: -4 + 4 = 0
0 + y = 5.656854249 + 4
y = 5.656854249 + 4

Combine like terms: 5.656854249 + 4 = 9.656854249
y = 9.656854249

Simplifying
y = 9.656854249


Subproblem 2
y + -4 = -5.656854249

Simplifying
y + -4 = -5.656854249

Reorder the terms:
-4 + y = -5.656854249

Solving
-4 + y = -5.656854249

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 = -5.656854249 + 4

Combine like terms: -4 + 4 = 0
0 + y = -5.656854249 + 4
y = -5.656854249 + 4

Combine like terms: -5.656854249 + 4 = -1.656854249
y = -1.656854249

Simplifying
y = -1.656854249


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {9.656854249, -1.656854249}

See similar equations:

| 3x+4/5=6+3 | | 6(v+3)-2v=2(2v+3)-12 | | 3/4a=2/4a-3/4 | | 3/4a=2/4-3/4 | | 4(x+4)=2x-2 | | 3/4a=3/4-2/4a | | 25x-2=35x+4 | | 250=(x-100)+x | | x5/x7 | | 0.375+-0.75= | | 1/6y=-5 | | -0.75+0.375= | | 2377960+26x=1995 | | 1/5(15x-10) | | 19r+17-17r+33= | | 9/4y-12=-3 | | 9/4x=-18 | | y-0.6=2y | | -8(n-4)=-7n-6 | | 250=c+x+100 | | 7x+2x=8x+9 | | 0.6-0.1=0.5x+2 | | s-6=16 | | (3*14)-(3*-7)+2= | | -33=12x-27 | | y=-3/2x-6 | | (3u-2)/4=7-(4u-3)/7 | | (6x+2)/5=5x-1 | | 7x+55=19 | | 7x+25=19 | | 0=2x+16-11y | | 4(x-0.5)+10.5=2(x+11.5) |

Equations solver categories