4y+2y^2=16+8y

Simple and best practice solution for 4y+2y^2=16+8y 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 4y+2y^2=16+8y equation: 


Simplifying
4y + 2y2 = 16 + 8y

Solving
4y + 2y2 = 16 + 8y

Solving for variable 'y'.

Reorder the terms:
-16 + 4y + -8y + 2y2 = 16 + 8y + -16 + -8y

Combine like terms: 4y + -8y = -4y
-16 + -4y + 2y2 = 16 + 8y + -16 + -8y

Reorder the terms:
-16 + -4y + 2y2 = 16 + -16 + 8y + -8y

Combine like terms: 16 + -16 = 0
-16 + -4y + 2y2 = 0 + 8y + -8y
-16 + -4y + 2y2 = 8y + -8y

Combine like terms: 8y + -8y = 0
-16 + -4y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -2y + y2) = 0

Factor a trinomial.
2((-2 + -1y)(4 + -1y)) = 0

Ignore the factor 2.

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 '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {-2, 4}

See similar equations:

| 8(8p+1)-4(5p+3)=-48 | | (5x+4)+(7x+4)=56 | | M+(3m+1)=43 | | y=x^2/1-x | | x^3=x^2+30x | | 4(x+4)-(x-1)=-1 | | 8x^2+32x+32=0 | | -6v(3u)= | | 10+3=x+7 | | 2x+3(x+1)+4(x+2)=74 | | 3(x+5y)=36 | | x=10y+6 | | 4(x-4)-(x-1)=-1 | | -2(m-5)=24 | | 2+5=(3b+9)b | | x^3-2x^2-15=0 | | (x+2)+5=9 | | x+(x+8)+(x+16)=888 | | 1/3(2x-8)=40 | | 2(m-1)+m=5(m-1)+3m | | -12=-6(4r-6)-8(4r-1) | | 2a+97=5 | | -54=8(1-6m)-2(8-m) | | 3.6+3.81=-31.11 | | 5+5m-15=30-10 | | 3.6+3.81=31.11 | | 10+(6+z)= | | 6x^2+5u-2=0 | | 2x+2x+x+108=180 | | -6r+40=7(r+4)-1 | | (3x+2)(3x^2-11x-4)=0 | | 15+8(x+2)=7 |

Equations solver categories