y^2+16y-2=0

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


Simplifying
y2 + 16y + -2 = 0

Reorder the terms:
-2 + 16y + y2 = 0

Solving
-2 + 16y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + 16y + 2 + y2 = 0 + 2

Reorder the terms:
-2 + 2 + 16y + y2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 16y + y2 = 0 + 2
16y + y2 = 0 + 2

Combine like terms: 0 + 2 = 2
16y + y2 = 2

The y term is 16y.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16y + 64 + y2 = 2 + 64

Reorder the terms:
64 + 16y + y2 = 2 + 64

Combine like terms: 2 + 64 = 66
64 + 16y + y2 = 66

Factor a perfect square on the left side:
(y + 8)(y + 8) = 66

Calculate the square root of the right side: 8.124038405

Break this problem into two subproblems by setting 
(y + 8) equal to 8.124038405 and -8.124038405.


Subproblem 1
y + 8 = 8.124038405

Simplifying
y + 8 = 8.124038405

Reorder the terms:
8 + y = 8.124038405

Solving
8 + y = 8.124038405

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + y = 8.124038405 + -8

Combine like terms: 8 + -8 = 0
0 + y = 8.124038405 + -8
y = 8.124038405 + -8

Combine like terms: 8.124038405 + -8 = 0.124038405
y = 0.124038405

Simplifying
y = 0.124038405


Subproblem 2
y + 8 = -8.124038405

Simplifying
y + 8 = -8.124038405

Reorder the terms:
8 + y = -8.124038405

Solving
8 + y = -8.124038405

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + y = -8.124038405 + -8

Combine like terms: 8 + -8 = 0
0 + y = -8.124038405 + -8
y = -8.124038405 + -8

Combine like terms: -8.124038405 + -8 = -16.124038405
y = -16.124038405

Simplifying
y = -16.124038405


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {0.124038405, -16.124038405}

See similar equations:

| 14-(5x-1)*(2x+3)=0 | | 8-3y=2y-6 | | x^2+bx=80 | | (x+-2)(x+-2)=0 | | 3x(x-3)+5(x+7)-x(x+1)-2((x*x)+7)+4=0 | | x(4x-1)= | | x(2x-3)= | | -4(x-y)= | | -3(x+y)= | | 9x+27=12x | | x(5+3x(5x(6+x)))=3 | | x[5+3x(5x(6+x))]=3 | | 4x+5=2x+29 | | y^2-15x+56=0 | | 8z=164 | | 5x+41=8x-13 | | x-4=39 | | x^2-16x+23=0 | | 78-6x=10x+19 | | 2(6x+24)-20=-4(12x-72) | | 30a^2-19a-63=0 | | -9=0.167z-11 | | (4y-28)*(y^2+3y+2)=0 | | 2x^2+3x+5=9 | | 2(x)-3=4 | | 12p-13p+8p= | | 4y*y^2+3y+2= | | x^2-3=8 | | 3*y=4 | | 4y^3+12y^2+8y-28y^2-84y-56=0 | | -7=0.50x+5 | | 4(8y+4)-17=-2(4y-8)+13 |

Equations solver categories