(2x+6y)x(3x+1y)=(6x+2y)x(1x+3y)

Simple and best practice solution for (2x+6y)x(3x+1y)=(6x+2y)x(1x+3y) 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(3x+1y)=(6x+2y)x(1x+3y) equation: 


Simplifying
(2x + 6y) * x(3x + 1y) = (6x + 2y) * x(1x + 3y)

Reorder the terms for easier multiplication:
x(2x + 6y)(3x + 1y) = (6x + 2y) * x(1x + 3y)

Multiply (2x + 6y) * (3x + 1y)
x(2x * (3x + 1y) + 6y * (3x + 1y)) = (6x + 2y) * x(1x + 3y)
x((3x * 2x + 1y * 2x) + 6y * (3x + 1y)) = (6x + 2y) * x(1x + 3y)

Reorder the terms:
x((2xy + 6x2) + 6y * (3x + 1y)) = (6x + 2y) * x(1x + 3y)
x((2xy + 6x2) + 6y * (3x + 1y)) = (6x + 2y) * x(1x + 3y)
x(2xy + 6x2 + (3x * 6y + 1y * 6y)) = (6x + 2y) * x(1x + 3y)
x(2xy + 6x2 + (18xy + 6y2)) = (6x + 2y) * x(1x + 3y)

Reorder the terms:
x(2xy + 18xy + 6x2 + 6y2) = (6x + 2y) * x(1x + 3y)

Combine like terms: 2xy + 18xy = 20xy
x(20xy + 6x2 + 6y2) = (6x + 2y) * x(1x + 3y)
(20xy * x + 6x2 * x + 6y2 * x) = (6x + 2y) * x(1x + 3y)

Reorder the terms:
(6xy2 + 20x2y + 6x3) = (6x + 2y) * x(1x + 3y)
(6xy2 + 20x2y + 6x3) = (6x + 2y) * x(1x + 3y)

Reorder the terms for easier multiplication:
6xy2 + 20x2y + 6x3 = x(6x + 2y)(1x + 3y)

Multiply (6x + 2y) * (1x + 3y)
6xy2 + 20x2y + 6x3 = x(6x * (1x + 3y) + 2y * (1x + 3y))
6xy2 + 20x2y + 6x3 = x((1x * 6x + 3y * 6x) + 2y * (1x + 3y))

Reorder the terms:
6xy2 + 20x2y + 6x3 = x((18xy + 6x2) + 2y * (1x + 3y))
6xy2 + 20x2y + 6x3 = x((18xy + 6x2) + 2y * (1x + 3y))
6xy2 + 20x2y + 6x3 = x(18xy + 6x2 + (1x * 2y + 3y * 2y))
6xy2 + 20x2y + 6x3 = x(18xy + 6x2 + (2xy + 6y2))

Reorder the terms:
6xy2 + 20x2y + 6x3 = x(18xy + 2xy + 6x2 + 6y2)

Combine like terms: 18xy + 2xy = 20xy
6xy2 + 20x2y + 6x3 = x(20xy + 6x2 + 6y2)
6xy2 + 20x2y + 6x3 = (20xy * x + 6x2 * x + 6y2 * x)

Reorder the terms:
6xy2 + 20x2y + 6x3 = (6xy2 + 20x2y + 6x3)
6xy2 + 20x2y + 6x3 = (6xy2 + 20x2y + 6x3)

Add '-6xy2' to each side of the equation.
6xy2 + 20x2y + -6xy2 + 6x3 = 6xy2 + 20x2y + -6xy2 + 6x3

Reorder the terms:
6xy2 + -6xy2 + 20x2y + 6x3 = 6xy2 + 20x2y + -6xy2 + 6x3

Combine like terms: 6xy2 + -6xy2 = 0
0 + 20x2y + 6x3 = 6xy2 + 20x2y + -6xy2 + 6x3
20x2y + 6x3 = 6xy2 + 20x2y + -6xy2 + 6x3

Reorder the terms:
20x2y + 6x3 = 6xy2 + -6xy2 + 20x2y + 6x3

Combine like terms: 6xy2 + -6xy2 = 0
20x2y + 6x3 = 0 + 20x2y + 6x3
20x2y + 6x3 = 20x2y + 6x3

Add '-20x2y' to each side of the equation.
20x2y + -20x2y + 6x3 = 20x2y + -20x2y + 6x3

Combine like terms: 20x2y + -20x2y = 0
0 + 6x3 = 20x2y + -20x2y + 6x3
6x3 = 20x2y + -20x2y + 6x3

Combine like terms: 20x2y + -20x2y = 0
6x3 = 0 + 6x3
6x3 = 6x3

Add '-6x3' to each side of the equation.
6x3 + -6x3 = 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
0 = 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

See similar equations:

| y=0.819(-25)+212 | | 10x-6=7x-6 | | 0.8x-(0.7x+0.36)=7.1 | | x-3=z+4 | | 11(c-8)=2(11-4c) | | 6x-83=37+11x | | 4m+3=13+-1m | | 5a+2a+15=-27 | | 2(x+3)+6x=20 | | -162=-6(7+4x) | | -6+4n=n+6 | | 3b^2-10=0 | | 3x-2(x-5)=22 | | 4x-20y=120 | | -3(2n+1)+3=-5 | | [2x+1]=[4x-3] | | -(-6+n)=-1 | | 16m-12=6m | | -4x+4x=-8 | | -2.7x=42.66 | | s+(s+22)=85 | | 27+.18x=.12x | | 7(s+18)=21(s-4) | | 5ax=5+4x | | 18w^4+10w^2+50=0 | | 3g-15g=8 | | 7r+16r=161 | | 12y-16+0=0 | | 9z-7z+3z= | | 2y+1=8y-1+3(1-2y) | | 2(17)+3c=37 | | 2b^2-17b+37=7 |

Equations solver categories