y^2+4y-4=

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


Simplifying
y2 + 4y + -4 = 0

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

Solving
-4 + 4y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + 4y + 4 + y2 = 0 + 4

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

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

Combine like terms: 0 + 4 = 4
4y + y2 = 4

The y term is 4y.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4y + 4 + y2 = 4 + 4

Reorder the terms:
4 + 4y + y2 = 4 + 4

Combine like terms: 4 + 4 = 8
4 + 4y + y2 = 8

Factor a perfect square on the left side:
(y + 2)(y + 2) = 8

Calculate the square root of the right side: 2.828427125

Break this problem into two subproblems by setting 
(y + 2) equal to 2.828427125 and -2.828427125.


Subproblem 1
y + 2 = 2.828427125

Simplifying
y + 2 = 2.828427125

Reorder the terms:
2 + y = 2.828427125

Solving
2 + y = 2.828427125

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + y = 2.828427125 + -2

Combine like terms: 2 + -2 = 0
0 + y = 2.828427125 + -2
y = 2.828427125 + -2

Combine like terms: 2.828427125 + -2 = 0.828427125
y = 0.828427125

Simplifying
y = 0.828427125


Subproblem 2
y + 2 = -2.828427125

Simplifying
y + 2 = -2.828427125

Reorder the terms:
2 + y = -2.828427125

Solving
2 + y = -2.828427125

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + y = -2.828427125 + -2

Combine like terms: 2 + -2 = 0
0 + y = -2.828427125 + -2
y = -2.828427125 + -2

Combine like terms: -2.828427125 + -2 = -4.828427125
y = -4.828427125

Simplifying
y = -4.828427125


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {0.828427125, -4.828427125}

See similar equations:

| 24+42x=28x | | 11-10=119-38x | | 6x+5=-10 | | 7+7y=10 | | 8u+3=7u+11 | | X+32=11 | | -53-10=8x+19 | | 13x-104=-13 | | (4x-7)(4x+2)= | | (-6+5i)-(9-5i)= | | 15y+6=-9 | | 2n=36+n+4 | | 108x-2x=6x+20 | | 4e^6-4x-15=72 | | 7(5-4)-10(3n-2)=0 | | 6a+5=-4 | | 14x-34=78 | | -3l+3=-20 | | 10p+9f-5p-11f= | | 2g+6h-g+2h= | | A=4.5(x+28) | | z^5=81z^3 | | 7(5n-4)-10(3n-2)=07 | | 10f+2f=60 | | 15j-6k+3k-5j= | | 2y+5=4x | | 5=13x+32 | | 2x-2y=540 | | -1.4(-4)=-9.7 | | 4h+7=42-h | | 45exp(0.075x)=52 | | -1.4(-4)= |

Equations solver categories