y*y+4-8*y-2=

Simple and best practice solution for y*y+4-8*y-2= 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*y+4-8*y-2= equation: 


Simplifying
y * y + 4 + -8y + -2 = 0

Multiply y * y
y2 + 4 + -8y + -2 = 0

Reorder the terms:
4 + -2 + -8y + y2 = 0

Combine like terms: 4 + -2 = 2
2 + -8y + y2 = 0

Solving
2 + -8y + 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 + -8y + -2 + y2 = 0 + -2

Reorder the terms:
2 + -2 + -8y + y2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -8y + y2 = 0 + -2
-8y + y2 = 0 + -2

Combine like terms: 0 + -2 = -2
-8y + y2 = -2

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 = -2 + 16

Reorder the terms:
16 + -8y + y2 = -2 + 16

Combine like terms: -2 + 16 = 14
16 + -8y + y2 = 14

Factor a perfect square on the left side:
(y + -4)(y + -4) = 14

Calculate the square root of the right side: 3.741657387

Break this problem into two subproblems by setting 
(y + -4) equal to 3.741657387 and -3.741657387.


Subproblem 1
y + -4 = 3.741657387

Simplifying
y + -4 = 3.741657387

Reorder the terms:
-4 + y = 3.741657387

Solving
-4 + y = 3.741657387

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 = 3.741657387 + 4

Combine like terms: -4 + 4 = 0
0 + y = 3.741657387 + 4
y = 3.741657387 + 4

Combine like terms: 3.741657387 + 4 = 7.741657387
y = 7.741657387

Simplifying
y = 7.741657387


Subproblem 2
y + -4 = -3.741657387

Simplifying
y + -4 = -3.741657387

Reorder the terms:
-4 + y = -3.741657387

Solving
-4 + y = -3.741657387

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 = -3.741657387 + 4

Combine like terms: -4 + 4 = 0
0 + y = -3.741657387 + 4
y = -3.741657387 + 4

Combine like terms: -3.741657387 + 4 = 0.258342613
y = 0.258342613

Simplifying
y = 0.258342613


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {7.741657387, 0.258342613}

See similar equations:

| 8n-10=2(4n-5) | | h+2.1=13.98 | | -105/15=35/n | | 1+6x=2x-13 | | 6m-3(m+5)=2(m-4)+m-7 | | 7/15-(-1/3)=N | | x*x-53=-4 | | 45.057+X=-101.007 | | -4-(-8)=N | | (X*x)-53=-4 | | 3=-4+3y | | 6x^2+20x+50=0 | | 3(4x-2)=6(2x+2) | | -9+-2x+18+x=4 | | 3x-15deg=150deg | | 1/13-6/13=N | | 6sin^2x-5cosx-2=0 | | 989=h+87 | | 9n-7=7n+1 | | 15/x-6=5/x | | -19d=209 | | 3x+11=-34 | | -3/b-5 | | 8b^2+20b^2= | | 5y+7x=0 | | (x-4)/5=-3 | | -X+21=8 | | -7(3x+6)=-2x-4 | | xsquared-12x+27=0 | | 27-2x=9-8 | | x^9-4x^7=0 | | 5y=8+y |

Equations solver categories