16y^2+16y+4=0

Simple and best practice solution for 16y^2+16y+4=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 16y^2+16y+4=0 equation:


Simplifying
16y2 + 16y + 4 = 0

Reorder the terms:
4 + 16y + 16y2 = 0

Solving
4 + 16y + 16y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + 4y + 4y2) = 0

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

Ignore the factor 4.

Subproblem 1

Set the factor '(1 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 2y = 0 Solving 1 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 0 + -1 2y = 0 + -1 Combine like terms: 0 + -1 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5

Subproblem 2

Set the factor '(1 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 2y = 0 Solving 1 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 0 + -1 2y = 0 + -1 Combine like terms: 0 + -1 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5

Solution

y = {-0.5, -0.5}

See similar equations:

| 9a^2=81 | | 6y+5=4y-7 | | 3-2(a+2+a)=5a+8 | | y^2+y-12=0 | | 12x^2+9=-6x | | 1x-4(x+3)=4-2x | | 9-18x+9x^2=0 | | 2u^2+9u-18=0 | | 3x^2+10xy+5y^2+20=0 | | y-(y+3)=y+y | | 5w^2+11w-2=0 | | 6p^2=-11p-40 | | 5(b-4)=10b+4 | | 5(b-4)=10y+4 | | 4v^2+8v+15=0 | | 8x+10=570 | | 2k^2-20=-k | | 4y+5=31 | | 4x^3+5x+1=0 | | 45x^2-120xy+80y^2=0 | | 6x^2-10x+10=0 | | 9x^3+39x^2+42x=0 | | 6y-2=5y+8 | | 16y+12=9y+3 | | -7p-15=-2p+11 | | 4x^2=x+4 | | 10w+19=4b-5 | | -(7y+2)-(-6y-4)=-3 | | 10+19=4b-5 | | 10-8z=-11z+7 | | 2d^2-10d-9=0 | | x+0.14x=18.24 |

Equations solver categories