6z^2+11z+4=0

Simple and best practice solution for 6z^2+11z+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 6z^2+11z+4=0 equation:


Simplifying
6z2 + 11z + 4 = 0

Reorder the terms:
4 + 11z + 6z2 = 0

Solving
4 + 11z + 6z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(4 + 3z)(1 + 2z) = 0

Subproblem 1

Set the factor '(4 + 3z)' equal to zero and attempt to solve: Simplifying 4 + 3z = 0 Solving 4 + 3z = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3z = 0 + -4 3z = 0 + -4 Combine like terms: 0 + -4 = -4 3z = -4 Divide each side by '3'. z = -1.333333333 Simplifying z = -1.333333333

Subproblem 2

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

Solution

z = {-1.333333333, -0.5}

See similar equations:

| 3x^2-14xy-24y^2=0 | | 45x^2y-36xy^2= | | 6+6p=1+7p | | (4x^3+15x^2+8x+48)/(2x+8) | | 5b^2-3b-2=0 | | y^2+cy-wy-cw= | | (x-7)(2x-8)=0 | | 3y^4-12y^3-15y^2= | | 6u^7-27u^6+27u^5=0 | | 3n^2+17n+10=0 | | 5k^2+18k+9=0 | | x+3=-9+7x | | 5x^2-20= | | -7.5=2.25 | | -16-8k=-4k+2+2k | | 5(3y-51)=0 | | -4=2x | | 12x-6-7= | | 0.5y+17=3y+11 | | x^2-171=0 | | x^2+25=196 | | 7n-n=16+4n | | log(3x^2)-log(6x)=2 | | 3(y-1)=4(y+1) | | 26=(-2)(3)+32 | | -5-6x=67 | | -84=2(-2-8v) | | 3a(a-6a+3)= | | 2y^3-10y^2-100y=0 | | -3(x-2)+2(x+1)=14 | | -3x=-4x^2+10 | | 2x^2+13x=4 |

Equations solver categories