2y^2-17y+30=y^2-8y+16

Simple and best practice solution for 2y^2-17y+30=y^2-8y+16 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 2y^2-17y+30=y^2-8y+16 equation: 


Simplifying
2y2 + -17y + 30 = y2 + -8y + 16

Reorder the terms:
30 + -17y + 2y2 = y2 + -8y + 16

Reorder the terms:
30 + -17y + 2y2 = 16 + -8y + y2

Solving
30 + -17y + 2y2 = 16 + -8y + y2

Solving for variable 'y'.

Reorder the terms:
30 + -16 + -17y + 8y + 2y2 + -1y2 = 16 + -8y + y2 + -16 + 8y + -1y2

Combine like terms: 30 + -16 = 14
14 + -17y + 8y + 2y2 + -1y2 = 16 + -8y + y2 + -16 + 8y + -1y2

Combine like terms: -17y + 8y = -9y
14 + -9y + 2y2 + -1y2 = 16 + -8y + y2 + -16 + 8y + -1y2

Combine like terms: 2y2 + -1y2 = 1y2
14 + -9y + 1y2 = 16 + -8y + y2 + -16 + 8y + -1y2

Reorder the terms:
14 + -9y + 1y2 = 16 + -16 + -8y + 8y + y2 + -1y2

Combine like terms: 16 + -16 = 0
14 + -9y + 1y2 = 0 + -8y + 8y + y2 + -1y2
14 + -9y + 1y2 = -8y + 8y + y2 + -1y2

Combine like terms: -8y + 8y = 0
14 + -9y + 1y2 = 0 + y2 + -1y2
14 + -9y + 1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
14 + -9y + 1y2 = 0

Factor a trinomial.
(2 + -1y)(7 + -1y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1y = 0 + -7

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

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

Divide each side by '-1'.
y = 7

Simplifying
y = 7
Solution
y = {2, 7}

See similar equations:

| 5-3(4x+8)=6 | | Ln(5x+11)=0 | | 2(-1y+4)=0 | | 4(2a+2)-17=-15 | | x=2-0/3 | | -26=-19+n | | 5y+1.8=-3.2+4y | | 6(3+x)=78 | | z^3+5z^2=0 | | 2x-5+x-7=8-5x-4 | | -3x-1=-x-1 | | x/2-4=-3 | | 1.99/3 | | 5(y-4)=(2y+1) | | 6*-3+-3= | | 6(r+1)=3r-6 | | 4(x-2)-2=-22 | | 2sen(2x)=-1 | | 4a-10=(2a-5) | | 2x-8+3x-10=10 | | 3x=4b | | 7[9-7(8-q)]=-9[7(9q-8)+6] | | 4x-9=-x+51 | | 60/180=p/90;9 | | (4x^2+7x+9)-(2x^2+10x+4)= | | y+4=-3x | | 6y/5= | | 5(x-18)-4x=-36 | | 25=-5t | | 5x-4=8x-3 | | 14-w/8-3w/4-21 | | 0=-3.5w+2+5w+10 |

Equations solver categories