(2x-6y)(x+y)=0

Simple and best practice solution for (2x-6y)(x+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 (2x-6y)(x+y)=0 equation: 


Simplifying
(2x + -6y)(x + y) = 0

Multiply (2x + -6y) * (x + y)
(2x * (x + y) + -6y * (x + y)) = 0
((x * 2x + y * 2x) + -6y * (x + y)) = 0

Reorder the terms:
((2xy + 2x2) + -6y * (x + y)) = 0
((2xy + 2x2) + -6y * (x + y)) = 0
(2xy + 2x2 + (x * -6y + y * -6y)) = 0
(2xy + 2x2 + (-6xy + -6y2)) = 0

Reorder the terms:
(2xy + -6xy + 2x2 + -6y2) = 0

Combine like terms: 2xy + -6xy = -4xy
(-4xy + 2x2 + -6y2) = 0

Solving
-4xy + 2x2 + -6y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2xy + x2 + -3y2) = 0

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

Ignore the factor 2.

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

Simplifying
x + -3y = 0

Solving
x + -3y = 0

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

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

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

Simplifying
x = 3y

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

Simplifying
x + y = 0

Solving
x + y = 0

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

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

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

Simplifying
x = -1y
Solution
x = {3y, -1y}

See similar equations:

| 6+10*2= | | (x+y)(4x-5y)=0 | | f(x)=4000x^2 | | (x+y)(x-7y)=0 | | 3c-2=10-c | | 2(x+10)=2(3x-8) | | (s-3t)(s-2t)=0 | | x=12(24-6y) | | 5x=100+4y | | f(x-2)=2x+5 | | 12v^7/54v^4 | | 2*54=u | | h-4.9=13.9 | | 85*5=w | | 4w+1=9w-18 | | -3a+1=2a+11 | | 8k+1=180 | | 20k+11=180 | | 5w^6/45w^4 | | 4x^2-39=4x | | 2/3x-1/6=5/x-2/3 | | 2x-(3x-3)=3x-5 | | 3H+2C=5.45 | | x(x+3)=11 | | 9-4m=2m-3 | | Y=2(0+3)(0-4) | | 4y-23=10+y | | 23+13x-15+5x-27x= | | 14000V=-2000t+20000 | | 5(9a)= | | 14000V=-2000+20000 | | -10x+14-8x+9= |

Equations solver categories