12y^2-17yz-5z^2=0

Simple and best practice solution for 12y^2-17yz-5z^2=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 12y^2-17yz-5z^2=0 equation: 


Simplifying
12y2 + -17yz + -5z2 = 0

Reorder the terms:
-17yz + 12y2 + -5z2 = 0

Solving
-17yz + 12y2 + -5z2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3y + -5z)(4y + z) = 0


Subproblem 1
Set the factor '(3y + -5z)' equal to zero and attempt to solve:

Simplifying
3y + -5z = 0

Solving
3y + -5z = 0

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

Add '5z' to each side of the equation.
3y + -5z + 5z = 0 + 5z

Combine like terms: -5z + 5z = 0
3y + 0 = 0 + 5z
3y = 0 + 5z
Remove the zero:
3y = 5z

Divide each side by '3'.
y = 1.666666667z

Simplifying
y = 1.666666667z

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

Simplifying
4y + z = 0

Solving
4y + z = 0

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

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

Combine like terms: z + -1z = 0
4y + 0 = 0 + -1z
4y = 0 + -1z
Remove the zero:
4y = -1z

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

Simplifying
y = -0.25z
Solution
y = {1.666666667z, -0.25z}

See similar equations:

| 4+5x+5x=-116 | | h(x)=-x^2+6 | | g(x)=-2+x^2 | | 12g=45-3g | | 2x^2+10xy+12y^2=0 | | 15n^2-3=4n | | x^2-x+1=-7x-4 | | -13k-19=-6 | | b+12b+32=0 | | 4r^2-48=-4r | | x^2-3x-3=1 | | 6=(x+8)-5x | | -36=(x+4) | | 200-7=39+x | | 2x+5y=60 | | -3(x+7)=9 | | 2x+y=60 | | -7x+10=-53 | | 8x+32=72 | | 10x-5=-125 | | 7p^2-3p=0 | | a-7=-5 | | 5y-4=y-8 | | 7+y=13 | | 14-3(5m-12)=1(20m+1) | | m+2-M-2=0 | | -8(5-7r)-2=22-8r | | -4+x=9 | | 18=4(2x+7) | | 10-10x=145-45x | | 9x^2+5=86 | | -22-6x=-7(1+3x) |

Equations solver categories