8y^2+6yz+12yz+9z^2=

Simple and best practice solution for 8y^2+6yz+12yz+9z^2= 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 8y^2+6yz+12yz+9z^2= equation:


Simplifying
8y2 + 6yz + 12yz + 9z2 = 0

Reorder the terms:
6yz + 12yz + 8y2 + 9z2 = 0

Combine like terms: 6yz + 12yz = 18yz
18yz + 8y2 + 9z2 = 0

Solving
18yz + 8y2 + 9z2 = 0

Solving for variable 'y'.

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

Subproblem 1

Set the factor '(4y + 3z)' equal to zero and attempt to solve: Simplifying 4y + 3z = 0 Solving 4y + 3z = 0 Move all terms containing y to the left, all other terms to the right. Add '-3z' to each side of the equation. 4y + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 4y + 0 = 0 + -3z 4y = 0 + -3z Remove the zero: 4y = -3z Divide each side by '4'. y = -0.75z Simplifying y = -0.75z

Subproblem 2

Set the factor '(2y + 3z)' equal to zero and attempt to solve: Simplifying 2y + 3z = 0 Solving 2y + 3z = 0 Move all terms containing y to the left, all other terms to the right. Add '-3z' to each side of the equation. 2y + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 2y + 0 = 0 + -3z 2y = 0 + -3z Remove the zero: 2y = -3z Divide each side by '2'. y = -1.5z Simplifying y = -1.5z

Solution

y = {-0.75z, -1.5z}

See similar equations:

| 5(x+2)-5x=10 | | -1=3+b | | 4c^2+4c-8=0 | | 18g^7-6g^4+3g^2=0 | | 70=5(2x-16) | | 5x^2-7x+25=0 | | y=5x^2-25x | | 68=4(x+3) | | 18g^7-6g^4+3g^2= | | x^2-2x+5x-10= | | 3(x-23)=21 | | -2p+4=5p-q | | 7(x+2)+6=69 | | 24=2(x-14) | | 7x-x-51=51 | | 11/6x^2+161/3x+462/3 | | 4(x-19)=24 | | u+6=-9 | | 2x-3(4x-5)-2=0 | | 17=6x-y | | -155+12x-3x=43 | | 6x+5=4x-5 | | 8x-24=5x-30 | | X/52=31/100 | | 3x-7(0)=15 | | 3x-5=3(x-2)+1 | | meow+99= | | 10+2[3(2)-4(3-2)]= | | t+-9=-10 | | 20(2)+15a=49.75 | | 9+o-9+p-op= | | 20x+70=25 |

Equations solver categories