-2(y+1)=1(y^2-9)

Simple and best practice solution for -2(y+1)=1(y^2-9) 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 -2(y+1)=1(y^2-9) equation: 


Simplifying
-2(y + 1) = 1(y2 + -9)

Reorder the terms:
-2(1 + y) = 1(y2 + -9)
(1 * -2 + y * -2) = 1(y2 + -9)
(-2 + -2y) = 1(y2 + -9)

Reorder the terms:
-2 + -2y = 1(-9 + y2)
-2 + -2y = (-9 * 1 + y2 * 1)
-2 + -2y = (-9 + 1y2)

Solving
-2 + -2y = -9 + 1y2

Solving for variable 'y'.

Reorder the terms:
-2 + 9 + -2y + -1y2 = -9 + 1y2 + 9 + -1y2

Combine like terms: -2 + 9 = 7
7 + -2y + -1y2 = -9 + 1y2 + 9 + -1y2

Reorder the terms:
7 + -2y + -1y2 = -9 + 9 + 1y2 + -1y2

Combine like terms: -9 + 9 = 0
7 + -2y + -1y2 = 0 + 1y2 + -1y2
7 + -2y + -1y2 = 1y2 + -1y2

Combine like terms: 1y2 + -1y2 = 0
7 + -2y + -1y2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-7 + 2y + y2 = 0

Move the constant term to the right:

Add '7' to each side of the equation.
-7 + 2y + 7 + y2 = 0 + 7

Reorder the terms:
-7 + 7 + 2y + y2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2y + y2 = 0 + 7
2y + y2 = 0 + 7

Combine like terms: 0 + 7 = 7
2y + y2 = 7

The y term is 2y.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2y + 1 + y2 = 7 + 1

Reorder the terms:
1 + 2y + y2 = 7 + 1

Combine like terms: 7 + 1 = 8
1 + 2y + y2 = 8

Factor a perfect square on the left side:
(y + 1)(y + 1) = 8

Calculate the square root of the right side: 2.828427125

Break this problem into two subproblems by setting 
(y + 1) equal to 2.828427125 and -2.828427125.


Subproblem 1
y + 1 = 2.828427125

Simplifying
y + 1 = 2.828427125

Reorder the terms:
1 + y = 2.828427125

Solving
1 + y = 2.828427125

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + y = 2.828427125 + -1

Combine like terms: 1 + -1 = 0
0 + y = 2.828427125 + -1
y = 2.828427125 + -1

Combine like terms: 2.828427125 + -1 = 1.828427125
y = 1.828427125

Simplifying
y = 1.828427125


Subproblem 2
y + 1 = -2.828427125

Simplifying
y + 1 = -2.828427125

Reorder the terms:
1 + y = -2.828427125

Solving
1 + y = -2.828427125

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + y = -2.828427125 + -1

Combine like terms: 1 + -1 = 0
0 + y = -2.828427125 + -1
y = -2.828427125 + -1

Combine like terms: -2.828427125 + -1 = -3.828427125
y = -3.828427125

Simplifying
y = -3.828427125


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {1.828427125, -3.828427125}

See similar equations:

| 3-5+=2y-4 | | 3-5+y=2-4 | | 5y+6y+17=-16 | | -1+8(8-x)=4-(4-x) | | -3+z/-3=-9 | | 2*-6y+5-6y=4 | | 5(13*x)=25 | | -3+z/-3 | | 7x+2(0-1/2)=24 | | -9=-3+z/-3 | | 3*6-2y-y=-13 | | 3y+12=2x | | -2+3=-4x-1 | | 7(3x+1)=3(2x+8) | | -3x+15+y=0 | | 9(3x-1)=(7x+3)+2 | | -6y+4=-7y+6 | | x(x-2)+5x=x(x+2)-3 | | 2y-5=y-1 | | 2*2-y+y=11 | | 6y=24+-5x | | 1y-5=-9 | | 9p^2=2p+20 | | x^2+1/9 | | 8(8x-8)=8(6x-8)+x | | -30=6x-4x+20 | | 3*2-y-3y=18 | | -6(1+3b)-6b=2(7-5b)+6b | | 1(3c)=c(2+c) | | 1/4-3/5 | | 152x-4y=148 | | 0.3xn=30 |

Equations solver categories