(x+3y)(3x+y)=

Simple and best practice solution for (x+3y)(3x+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 (x+3y)(3x+y)= equation: 


Simplifying
(x + 3y)(3x + y) = 0

Multiply (x + 3y) * (3x + y)
(x(3x + y) + 3y * (3x + y)) = 0
((3x * x + y * x) + 3y * (3x + y)) = 0

Reorder the terms:
((xy + 3x2) + 3y * (3x + y)) = 0
((xy + 3x2) + 3y * (3x + y)) = 0
(xy + 3x2 + (3x * 3y + y * 3y)) = 0
(xy + 3x2 + (9xy + 3y2)) = 0

Reorder the terms:
(xy + 9xy + 3x2 + 3y2) = 0

Combine like terms: xy + 9xy = 10xy
(10xy + 3x2 + 3y2) = 0

Solving
10xy + 3x2 + 3y2 = 0

Solving for variable 'x'.

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


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

Simplifying
3x + y = 0

Solving
3x + y = 0

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

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

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

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

Simplifying
x = -0.3333333333y

Subproblem 2
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
Solution
x = {-0.3333333333y, -3y}

See similar equations:

| (1+2w)*w*2w=40 | | -60x^3+144x= | | c/4+85=99 | | 4x+1=6-x | | -4+6s+7m-4s-4m-6= | | 2(13-4x)-9(x+6)= | | 49x^2-91+42=0 | | -8x-(5x+5)=7 | | 2(h-4)=6 | | 3y+7(2y+6)-2+3(4y+9)=270 | | -7x-15=2x-6 | | 12a-11-9a=1 | | 7h-16=54 | | 3x^2+31x+8=0 | | 10=4+2d | | x(-11+x)=0 | | -4x+22=x-8 | | 2h-3=3 | | -40x^2-18x+36=0 | | 1=10-3t | | 22-x=4x-8 | | -8x^2+32x-30=0 | | 2r-4=4 | | 5X^2-66X+1=0 | | 41=15x+(-3)x^2 | | y=15+27x | | y=27x+15 | | 20u-12u=40 | | x^2-4-25=0 | | U+5=10 | | -3-7r=16 | | 3z=6 |

Equations solver categories