4y^2+17y+4=0

Simple and best practice solution for 4y^2+17y+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 4y^2+17y+4=0 equation: 


Simplifying
4y2 + 17y + 4 = 0

Reorder the terms:
4 + 17y + 4y2 = 0

Solving
4 + 17y + 4y2 = 0

Solving for variable 'y'.

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


Subproblem 1
Set the factor '(4 + y)' equal to zero and attempt to solve:

Simplifying
4 + y = 0

Solving
4 + y = 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 + y = 0 + -4

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

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

Simplifying
y = -4

Subproblem 2
Set the factor '(1 + 4y)' equal to zero and attempt to solve:

Simplifying
1 + 4y = 0

Solving
1 + 4y = 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 + 4y = 0 + -1

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

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

Divide each side by '4'.
y = -0.25

Simplifying
y = -0.25
Solution
y = {-4, -0.25}

See similar equations:

| 35a^2+12a-36= | | 6x^3-216x^2=0 | | 4x^3y+28x^2y+49xy= | | 3x^2-12x+2=0 | | 45-4x=14x+17 | | 13-7x=45-14x | | 15y^3+66y^2-45y= | | 8x^2y-36xy+16y= | | Ln(x)-ln(3)=3 | | 8p^2+13p+5= | | 20b^2-49b+30= | | 7x^2+50x+7= | | 16z^2+4z+3= | | 16z+4z+3= | | a*a*b*b= | | 4c^2-17c-15=0 | | 20p^2+9p+1= | | 4x*x= | | 5a^2-6a+1= | | x=(24/6+2*3)/5*2*2 | | x=(24/6+2*3)/5 | | 6x^2+7x+1= | | 5t*k= | | 5t*1= | | p^4-p^3-30p^2= | | 4x^3-8x^2-60x= | | 5x^2+36x+55=0 | | 7m^2+36x+55=0 | | y^2-4xy-5x^2= | | 4y^3+8y^2-60y= | | x^2-2xy-15y^2= | | 12x+5x=3 |

Equations solver categories