y^2+4-10y-20+9=0

Simple and best practice solution for y^2+4-10y-20+9=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+4-10y-20+9=0 equation: 


Simplifying
y2 + 4 + -10y + -20 + 9 = 0

Reorder the terms:
4 + -20 + 9 + -10y + y2 = 0

Combine like terms: 4 + -20 = -16
-16 + 9 + -10y + y2 = 0

Combine like terms: -16 + 9 = -7
-7 + -10y + y2 = 0

Solving
-7 + -10y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '7' to each side of the equation.
-7 + -10y + 7 + y2 = 0 + 7

Reorder the terms:
-7 + 7 + -10y + y2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -10y + y2 = 0 + 7
-10y + y2 = 0 + 7

Combine like terms: 0 + 7 = 7
-10y + y2 = 7

The y term is -10y.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10y + 25 + y2 = 7 + 25

Reorder the terms:
25 + -10y + y2 = 7 + 25

Combine like terms: 7 + 25 = 32
25 + -10y + y2 = 32

Factor a perfect square on the left side:
(y + -5)(y + -5) = 32

Calculate the square root of the right side: 5.656854249

Break this problem into two subproblems by setting 
(y + -5) equal to 5.656854249 and -5.656854249.


Subproblem 1
y + -5 = 5.656854249

Simplifying
y + -5 = 5.656854249

Reorder the terms:
-5 + y = 5.656854249

Solving
-5 + y = 5.656854249

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + y = 5.656854249 + 5

Combine like terms: -5 + 5 = 0
0 + y = 5.656854249 + 5
y = 5.656854249 + 5

Combine like terms: 5.656854249 + 5 = 10.656854249
y = 10.656854249

Simplifying
y = 10.656854249


Subproblem 2
y + -5 = -5.656854249

Simplifying
y + -5 = -5.656854249

Reorder the terms:
-5 + y = -5.656854249

Solving
-5 + y = -5.656854249

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + y = -5.656854249 + 5

Combine like terms: -5 + 5 = 0
0 + y = -5.656854249 + 5
y = -5.656854249 + 5

Combine like terms: -5.656854249 + 5 = -0.656854249
y = -0.656854249

Simplifying
y = -0.656854249


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {10.656854249, -0.656854249}

See similar equations:

| 3x-1=3x-9 | | 0.25t+8=5 | | 84=3(-4+8n) | | 8-u+10u=8u-2 | | -32+p=43 | | 0.35t+8=5 | | 5+3n=3n+5 | | q(q-6)=0 | | -6x+3-2X=3+x | | -6x+3-2X=3(x) | | 2x-22=-48 | | -288=8(-6m+6)-8m | | 10logx=100 | | (2x+7)=4 | | n+(-18)=-42 | | -32+x=10-2x | | 0.25t+5=3 | | 2(x-22)=-48 | | 5x+3=41 | | -7x^2+x^4=-10 | | 0.25+5=3 | | -6=3x-6+8x | | 14+23x=28+16x | | 6m-4=5m-5 | | 3x-9=3x-1 | | 4x^2-19x+12=-2x+8 | | 1+2x+8+X=90 | | y^2-6y-8=0 | | 28-(2c+4)=2(c-7)+c | | 1m=3.27 | | 4(-8-2)=4(-8) | | p+1-3p=-11 |

Equations solver categories