(3x+5y)(6x-y)=0

Simple and best practice solution for (3x+5y)(6x-y)=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 (3x+5y)(6x-y)=0 equation: 


Simplifying
(3x + 5y)(6x + -1y) = 0

Multiply (3x + 5y) * (6x + -1y)
(3x * (6x + -1y) + 5y * (6x + -1y)) = 0
((6x * 3x + -1y * 3x) + 5y * (6x + -1y)) = 0

Reorder the terms:
((-3xy + 18x2) + 5y * (6x + -1y)) = 0
((-3xy + 18x2) + 5y * (6x + -1y)) = 0
(-3xy + 18x2 + (6x * 5y + -1y * 5y)) = 0
(-3xy + 18x2 + (30xy + -5y2)) = 0

Reorder the terms:
(-3xy + 30xy + 18x2 + -5y2) = 0

Combine like terms: -3xy + 30xy = 27xy
(27xy + 18x2 + -5y2) = 0

Solving
27xy + 18x2 + -5y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6x + -1y)(3x + 5y) = 0


Subproblem 1
Set the factor '(6x + -1y)' equal to zero and attempt to solve:

Simplifying
6x + -1y = 0

Solving
6x + -1y = 0

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

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

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

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

Simplifying
x = 0.1666666667y

Subproblem 2
Set the factor '(3x + 5y)' equal to zero and attempt to solve:

Simplifying
3x + 5y = 0

Solving
3x + 5y = 0

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

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

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

Divide each side by '3'.
x = -1.666666667y

Simplifying
x = -1.666666667y
Solution
x = {0.1666666667y, -1.666666667y}

See similar equations:

| 32+6x=-4(5x-8)+6 | | =-0.03(2-x) | | 6t+18=-12 | | 5(x-9)=-19 | | x(-5-x)=-2 | | 6t+18=12 | | -2(y+4)+5y= | | 7(a+5)=89.6 | | 8x-13=4x+10 | | 6c+9c= | | 74x-(x^2)-1840=0 | | -2y(y+4)+5y= | | 11x-22=75 | | 5(x+1)=8(x-2) | | 38.31+.5x=80 | | 4.9x^2-30x+23=0 | | 10.9=7c-8 | | l=18 | | 9e-8=40.6 | | -4x-6=-3x-7 | | y^4-6x^2=4 | | 5p=28.5 | | 68+.40x+160= | | -6x-51=4x+79 | | 3(x+4)=3x+10 | | 7+7x-(-2x)+3=9x+10 | | 68+.40x= | | 66=-11t | | 24x-16x^2=8 | | 5x-14=81 | | 3x-53=-4x+38 | | 9(a+1)=90 |

Equations solver categories