y^2+8y+0.25=0

Simple and best practice solution for y^2+8y+0.25=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+0.25=0 equation: 


Simplifying
y2 + 8y + 0.25 = 0

Reorder the terms:
0.25 + 8y + y2 = 0

Solving
0.25 + 8y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + 8y + -0.25 + y2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + 8y + y2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 8y + y2 = 0 + -0.25
8y + y2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
8y + y2 = -0.25

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 = -0.25 + 16

Reorder the terms:
16 + 8y + y2 = -0.25 + 16

Combine like terms: -0.25 + 16 = 15.75
16 + 8y + y2 = 15.75

Factor a perfect square on the left side:
(y + 4)(y + 4) = 15.75

Calculate the square root of the right side: 3.968626967

Break this problem into two subproblems by setting 
(y + 4) equal to 3.968626967 and -3.968626967.


Subproblem 1
y + 4 = 3.968626967

Simplifying
y + 4 = 3.968626967

Reorder the terms:
4 + y = 3.968626967

Solving
4 + y = 3.968626967

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 = 3.968626967 + -4

Combine like terms: 4 + -4 = 0
0 + y = 3.968626967 + -4
y = 3.968626967 + -4

Combine like terms: 3.968626967 + -4 = -0.031373033
y = -0.031373033

Simplifying
y = -0.031373033


Subproblem 2
y + 4 = -3.968626967

Simplifying
y + 4 = -3.968626967

Reorder the terms:
4 + y = -3.968626967

Solving
4 + y = -3.968626967

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 = -3.968626967 + -4

Combine like terms: 4 + -4 = 0
0 + y = -3.968626967 + -4
y = -3.968626967 + -4

Combine like terms: -3.968626967 + -4 = -7.968626967
y = -7.968626967

Simplifying
y = -7.968626967


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {-0.031373033, -7.968626967}

See similar equations:

| -12.84-9.5f-19.47=-2.2f+12.95 | | 80-x+14=65 | | 80-x+148=65 | | -3x^2+800x+20= | | Log[2](5x-5)=4 | | -6c+10=-7c+1 | | 7-x=25-4x | | 59+84+51+x+x=180 | | -4.3q=13.68-1.9q | | -12x=-75-11y | | y^2+8y+x^2=0 | | 10x-3=19x-1 | | 2000+25t=2000 | | x+.06x=1600 | | 4x^2-17+11=-9x+8 | | -18.4u-8.41=-18.3u-6.49 | | 6w+3=27+2w | | 16+2x=6x+14 | | 3.5x+X=9 | | 10/9x^2-12/10x=0 | | -3x^2+540x-12= | | -18.4u-8.41=-18 | | -8-7p=-8p | | 3(x+7)+4(x+3)= | | -6w-5=-7w-8 | | -2+4j=3j-9 | | k+2=-14-20-k | | -8/32 | | -4g+7g-11=-17+6g | | -8x+64=-16 | | 2x^2+12=-1 | | 9v=10v-2 |

Equations solver categories