9(-y)(9-y)=1

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


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

Remove parenthesis around (-1y)
9 * -1y(9 + -1y) = 1

Multiply 9 * -1
-9y(9 + -1y) = 1
(9 * -9y + -1y * -9y) = 1
(-81y + 9y2) = 1

Solving
-81y + 9y2 = 1

Solving for variable 'y'.

Reorder the terms:
-1 + -81y + 9y2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -81y + 9y2 = 0

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

Divide each side by '9'.
-0.1111111111 + -9y + y2 = 0

Move the constant term to the right:

Add '0.1111111111' to each side of the equation.
-0.1111111111 + -9y + 0.1111111111 + y2 = 0 + 0.1111111111

Reorder the terms:
-0.1111111111 + 0.1111111111 + -9y + y2 = 0 + 0.1111111111

Combine like terms: -0.1111111111 + 0.1111111111 = 0.0000000000
0.0000000000 + -9y + y2 = 0 + 0.1111111111
-9y + y2 = 0 + 0.1111111111

Combine like terms: 0 + 0.1111111111 = 0.1111111111
-9y + y2 = 0.1111111111

The y term is -9y.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9y + 20.25 + y2 = 0.1111111111 + 20.25

Reorder the terms:
20.25 + -9y + y2 = 0.1111111111 + 20.25

Combine like terms: 0.1111111111 + 20.25 = 20.3611111111
20.25 + -9y + y2 = 20.3611111111

Factor a perfect square on the left side:
(y + -4.5)(y + -4.5) = 20.3611111111

Calculate the square root of the right side: 4.51232879

Break this problem into two subproblems by setting 
(y + -4.5) equal to 4.51232879 and -4.51232879.


Subproblem 1
y + -4.5 = 4.51232879

Simplifying
y + -4.5 = 4.51232879

Reorder the terms:
-4.5 + y = 4.51232879

Solving
-4.5 + y = 4.51232879

Solving for variable 'y'.

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

Add '4.5' to each side of the equation.
-4.5 + 4.5 + y = 4.51232879 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + y = 4.51232879 + 4.5
y = 4.51232879 + 4.5

Combine like terms: 4.51232879 + 4.5 = 9.01232879
y = 9.01232879

Simplifying
y = 9.01232879


Subproblem 2
y + -4.5 = -4.51232879

Simplifying
y + -4.5 = -4.51232879

Reorder the terms:
-4.5 + y = -4.51232879

Solving
-4.5 + y = -4.51232879

Solving for variable 'y'.

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

Add '4.5' to each side of the equation.
-4.5 + 4.5 + y = -4.51232879 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + y = -4.51232879 + 4.5
y = -4.51232879 + 4.5

Combine like terms: -4.51232879 + 4.5 = -0.01232879
y = -0.01232879

Simplifying
y = -0.01232879


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {9.01232879, -0.01232879}

See similar equations:

| 2lg(x)=3 | | 0.33(3x-12)+11=1+1.5x | | 5=gh+2 | | solve(D^2-4d+3)y=0 | | 2x+34=12-76 | | 9y(9-y)=1 | | 11n-7=4 | | Y-3x=-3 | | (x^2-5*x)*(x-10)=x^3-15x^2+50x | | Q=10X+4Y+0.2XY | | 61+(5x-1)= | | e=7+(-13.5)-(2.5) | | 7x-5y=-16 | | X+21-35Y= | | 5+ln(x-4)=3 | | (3+7x)(6+2x)=0 | | m^4-2m^3+3m^2+2m+5=0 | | (9-y)(-9y)=1 | | 2*sin(2x)=0 | | (9-y)(9y)=1 | | 8x-55=3x | | 3x^2+2xy-25y^3=0 | | 9-y(9(1+y)x)=1 | | -4(2t+1)=-20 | | 9-y(9(1-y)x)=1 | | 3(f-7)=6 | | 10(s-6)=-125 | | 81x-9x(9)=1 | | 81x-9x(1)=1 | | X-7=3x-9 | | logx=cosx | | 2+14+4+6= |

Equations solver categories