9y^2-15y+5=y+9

Simple and best practice solution for 9y^2-15y+5=y+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 9y^2-15y+5=y+9 equation: 


Simplifying
9y2 + -15y + 5 = y + 9

Reorder the terms:
5 + -15y + 9y2 = y + 9

Reorder the terms:
5 + -15y + 9y2 = 9 + y

Solving
5 + -15y + 9y2 = 9 + y

Solving for variable 'y'.

Reorder the terms:
5 + -9 + -15y + -1y + 9y2 = 9 + y + -9 + -1y

Combine like terms: 5 + -9 = -4
-4 + -15y + -1y + 9y2 = 9 + y + -9 + -1y

Combine like terms: -15y + -1y = -16y
-4 + -16y + 9y2 = 9 + y + -9 + -1y

Reorder the terms:
-4 + -16y + 9y2 = 9 + -9 + y + -1y

Combine like terms: 9 + -9 = 0
-4 + -16y + 9y2 = 0 + y + -1y
-4 + -16y + 9y2 = y + -1y

Combine like terms: y + -1y = 0
-4 + -16y + 9y2 = 0

Factor a trinomial.
(-2 + -9y)(2 + -1y) = 0


Subproblem 1
Set the factor '(-2 + -9y)' equal to zero and attempt to solve:

Simplifying
-2 + -9y = 0

Solving
-2 + -9y = 0

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

Add '2' to each side of the equation.
-2 + 2 + -9y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -9y = 0 + 2
-9y = 0 + 2

Combine like terms: 0 + 2 = 2
-9y = 2

Divide each side by '-9'.
y = -0.2222222222

Simplifying
y = -0.2222222222

Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

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

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

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {-0.2222222222, 2}

See similar equations:

| y=.5*0+1 | | 5(r+3)-6=3(r-2)-9 | | 0.4y=2 | | .5*1+1=y | | .5*2+1=y | | 20-6w=14 | | 4(9+3x)-12=-6 | | 2b+0.4c=18 | | 1.8=0.6x | | 9(x-5)-5(x-2)=1 | | .20(14000)+.14x=.18(14000+x) | | 0.5m=3.5 | | 4t+5= | | 5a+4=29 | | 6x-6=5x+4 | | 2t+4= | | -2x-3(4-2x)=2(x-3)+7 | | 4w^3y^2+16v^4w^5y^2= | | 5(Y+6)+4(y+1)=142 | | -(6x-(4x+8))=9+(6x+3) | | 45=9d | | 49=5a+4 | | 6y-2(y+3)=14 | | 2t+5= | | 29=5a+4 | | 6y-2(y-3)=14 | | 2.5q+8=6.5q-4 | | 416=4c | | 6x^2=9x | | 100=20b | | 2.3x+24.8=6.5x+3.8 | | 7x-3=120 |

Equations solver categories