y^2+16y+69=0

Simple and best practice solution for y^2+16y+69=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+69=0 equation:


Simplifying
y2 + 16y + 69 = 0

Reorder the terms:
69 + 16y + y2 = 0

Solving
69 + 16y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-69' to each side of the equation.
69 + 16y + -69 + y2 = 0 + -69

Reorder the terms:
69 + -69 + 16y + y2 = 0 + -69

Combine like terms: 69 + -69 = 0
0 + 16y + y2 = 0 + -69
16y + y2 = 0 + -69

Combine like terms: 0 + -69 = -69
16y + y2 = -69

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 = -69 + 64

Reorder the terms:
64 + 16y + y2 = -69 + 64

Combine like terms: -69 + 64 = -5
64 + 16y + y2 = -5

Factor a perfect square on the left side:
(y + 8)(y + 8) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| x^2+2x=x(x+2) | | x^2-14x=207 | | 3y^2-4y=7 | | 3y^2=4y+7 | | x^5-5x+1=0 | | 5c+14=-2a | | 35+a=7a | | m^3-3m=-2 | | 2y-30=5y | | 148-3x=33x+24 | | 4x+21=14x-59 | | 12x*2-18xy= | | 0=5x^4+2x | | 7.1-x-13=22.1 | | 4+B*1(-2)=12 | | 5x^2-3=5x | | 2x^2+7x=11 | | 4x^3+2x^2+2=0 | | 4x^3+2x^2=0 | | x=4.2 | | m^3+m^2(2m-1)= | | 7x-5=3x | | .5(.00342-.004k)*5*5+.3333*.000992*5*5*5-.25*.000342*25*25+.2*.0000333*625*5=0 | | 5a^2-a(2b-30)= | | .5(.00342-.004k)*5*5+.3333*.000992*5*5*5=0 | | .5x=1 | | q=5h+5v | | 6x^2-5x-8=0 | | 3y+5=15-7y | | .5(.00342-.004k)*5*5=0 | | .5(.00342-k*.004)*5*5=0 | | 69-6x=30x+17 |

Equations solver categories