y^2+8y-182.25=0

Simple and best practice solution for y^2+8y-182.25=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-182.25=0 equation: 


Simplifying
y2 + 8y + -182.25 = 0

Reorder the terms:
-182.25 + 8y + y2 = 0

Solving
-182.25 + 8y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '182.25' to each side of the equation.
-182.25 + 8y + 182.25 + y2 = 0 + 182.25

Reorder the terms:
-182.25 + 182.25 + 8y + y2 = 0 + 182.25

Combine like terms: -182.25 + 182.25 = 0.00
0.00 + 8y + y2 = 0 + 182.25
8y + y2 = 0 + 182.25

Combine like terms: 0 + 182.25 = 182.25
8y + y2 = 182.25

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 = 182.25 + 16

Reorder the terms:
16 + 8y + y2 = 182.25 + 16

Combine like terms: 182.25 + 16 = 198.25
16 + 8y + y2 = 198.25

Factor a perfect square on the left side:
(y + 4)(y + 4) = 198.25

Calculate the square root of the right side: 14.08012784

Break this problem into two subproblems by setting 
(y + 4) equal to 14.08012784 and -14.08012784.


Subproblem 1
y + 4 = 14.08012784

Simplifying
y + 4 = 14.08012784

Reorder the terms:
4 + y = 14.08012784

Solving
4 + y = 14.08012784

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 = 14.08012784 + -4

Combine like terms: 4 + -4 = 0
0 + y = 14.08012784 + -4
y = 14.08012784 + -4

Combine like terms: 14.08012784 + -4 = 10.08012784
y = 10.08012784

Simplifying
y = 10.08012784


Subproblem 2
y + 4 = -14.08012784

Simplifying
y + 4 = -14.08012784

Reorder the terms:
4 + y = -14.08012784

Solving
4 + y = -14.08012784

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 = -14.08012784 + -4

Combine like terms: 4 + -4 = 0
0 + y = -14.08012784 + -4
y = -14.08012784 + -4

Combine like terms: -14.08012784 + -4 = -18.08012784
y = -18.08012784

Simplifying
y = -18.08012784


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {10.08012784, -18.08012784}

See similar equations:

| f(x)=-7+x | | f(x)=-1-2x | | 5(2m+3)=11 | | 9(1-2h)=81 | | y+7=-5/4(x+12) | | 3x-4y=4+4i | | 24t=-20 | | m/2-9=12 | | 2y-2x=-1 | | 3-4i/9+4i | | f(x)=-4x+8 | | 8b-32=128 | | 11d-13=29d+23 | | 14q-52=8q-46 | | 3x-15y=9 | | 8r-20=7+5r | | 12y+8=10y+12 | | (8+2i)-(9-7i)= | | 2a^3+8a^2-64a^2=0 | | f(x)=2x+8 | | x^2-1-y^2+y^2x^2= | | 13=4x-20 | | 1/5f-5 | | f(x)=2-7x | | 5.2=0.5*m*4 | | 19x+(-9)=-33+13x | | 19x+(-9)=-33+12x | | -35-5= | | 3x/2+6x/3=0 | | -2x+2(-5x+14)=-80 | | 48=(6/3+6)*8 | | 48=(6/3+6)8 |

Equations solver categories