(3xy-y^2)(6x+y)=

Simple and best practice solution for (3xy-y^2)(6x+y)= 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 (3xy-y^2)(6x+y)= equation: 


Simplifying
(3xy + -1y2)(6x + y) = 0

Multiply (3xy + -1y2) * (6x + y)
(3xy * (6x + y) + -1y2 * (6x + y)) = 0
((6x * 3xy + y * 3xy) + -1y2 * (6x + y)) = 0

Reorder the terms:
((3xy2 + 18x2y) + -1y2 * (6x + y)) = 0
((3xy2 + 18x2y) + -1y2 * (6x + y)) = 0
(3xy2 + 18x2y + (6x * -1y2 + y * -1y2)) = 0
(3xy2 + 18x2y + (-6xy2 + -1y3)) = 0

Reorder the terms:
(3xy2 + -6xy2 + 18x2y + -1y3) = 0

Combine like terms: 3xy2 + -6xy2 = -3xy2
(-3xy2 + 18x2y + -1y3) = 0

Solving
-3xy2 + 18x2y + -1y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-3xy + 18x2 + -1y2) = 0

Factor a trinomial.
y((3x + -1y)(6x + y)) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(3x + -1y)' equal to zero and attempt to solve:

Simplifying
3x + -1y = 0

Solving
3x + -1y = 0

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

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

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

Divide each side by '3'.
x = 0.3333333333y

Simplifying
x = 0.3333333333y

Subproblem 3
Set the factor '(6x + y)' equal to zero and attempt to solve:

Simplifying
6x + y = 0

Solving
6x + y = 0

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

Add '-1y' to each side of the equation.
6x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
6x + 0 = 0 + -1y
6x = 0 + -1y
Remove the zero:
6x = -1y

Divide each side by '6'.
x = -0.1666666667y

Simplifying
x = -0.1666666667y
Solution
x = {0.3333333333y, -0.1666666667y}

See similar equations:

| 1.32x^2-5x-7000=0 | | -1/4u+5/2=7/2u+7/2 | | -0.6-1.7=0.1w+2.5 | | (7.8+8.6)x=45.5 | | 1.74g-13=0.05 | | 1.35x^2-9x-6000=0 | | -18=-301+x | | b/9+1/8=17 | | -2x+11=-6x+11 | | 6u+7/7+5u+9/2=29 | | -1/9(y+4)=1/9(y-2/5) | | -4x-3/5=7/2x-7/2 | | -4(x-7)-30=3-37 | | b/19-3b/19=4/19 | | x/2=x/3-2 | | 6w-23=0 | | 19a+b=3 | | 5x-5=-51-9x | | 6=-4u-7 | | 2(u+1)+4u=3(2y-1)+8 | | -23x+8-25x=7-9 | | =12+3(2x+5)-3x | | -5(y+7)=-2y-38 | | =5b+2(3+4b) | | =3(4x+2)+4(2x+3) | | =3(x-1)+11 | | =6x+y-2x+8+4y+2 | | 6m+2m=102 | | -10x+11x+5=5-9 | | -7/8u=-14 | | -12b-3=22 | | -2y=-24 |

Equations solver categories