6y^2-7yz-3z^2=0

Simple and best practice solution for 6y^2-7yz-3z^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 6y^2-7yz-3z^2=0 equation: 


Simplifying
6y2 + -7yz + -3z2 = 0

Reorder the terms:
-7yz + 6y2 + -3z2 = 0

Solving
-7yz + 6y2 + -3z2 = 0

Solving for variable 'y'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(3y + z)' equal to zero and attempt to solve:

Simplifying
3y + z = 0

Solving
3y + z = 0

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

Add '-1z' to each side of the equation.
3y + z + -1z = 0 + -1z

Combine like terms: z + -1z = 0
3y + 0 = 0 + -1z
3y = 0 + -1z
Remove the zero:
3y = -1z

Divide each side by '3'.
y = -0.3333333333z

Simplifying
y = -0.3333333333z
Solution
y = {1.5z, -0.3333333333z}

See similar equations:

| n^2-129=7n | | 9-4x=4x-15 | | 5x^5y+8+11xy^2=0 | | (5x+6)(x-1)-(2x^2-5x+3)=0 | | x^2-18x=-32 | | 3(x+2)+2=2(x+3)+3 | | -7(2x+9)= | | 2p^2=-4p+3 | | -6(2a-4)=3(-5a+1) | | 2p^2+4p+3=0 | | 5(2+13y)= | | 5y-7+y=7y+25-5y | | 3(2x-2)=12 | | x^3+10x^2+13x-69=0 | | 3(n-1)=8(3-3n) | | .50(7x+8)=14+3x | | -5w+10w-18=12 | | 5x+5(x+3)=95 | | -7+x=-2x-1 | | 2x^2+11x+12= | | -2(-3-4)=-10 | | 5x+(5x+3)=95 | | 3r^2+27=0 | | 6-8x=78-36x | | -5w+10w=12 | | 16x^2+2x+9=0 | | 7x^3+12x^2-11x+2=0 | | 7y-3=2(y+4) | | 7-11x=29 | | 2(x+4)=32 | | 8x^2-14x-49=0 | | 6(3x+5)=12 |

Equations solver categories