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

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


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

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

Reorder the terms:
((-3xy + 6x2) + 6y * (6x + -3y)) = 0
((-3xy + 6x2) + 6y * (6x + -3y)) = 0
(-3xy + 6x2 + (6x * 6y + -3y * 6y)) = 0
(-3xy + 6x2 + (36xy + -18y2)) = 0

Reorder the terms:
(-3xy + 36xy + 6x2 + -18y2) = 0

Combine like terms: -3xy + 36xy = 33xy
(33xy + 6x2 + -18y2) = 0

Solving
33xy + 6x2 + -18y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(11xy + 2x2 + -6y2) = 0

Factor a trinomial.
3((2x + -1y)(x + 6y)) = 0

Ignore the factor 3.

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

Simplifying
2x + -1y = 0

Solving
2x + -1y = 0

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

Add 'y' to each side of the equation.
2x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2x + 0 = 0 + y
2x = 0 + y
Remove the zero:
2x = y

Divide each side by '2'.
x = 0.5y

Simplifying
x = 0.5y

Subproblem 2
Set the factor '(x + 6y)' equal to zero and attempt to solve:

Simplifying
x + 6y = 0

Solving
x + 6y = 0

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

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

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

Simplifying
x = -6y
Solution
x = {0.5y, -6y}

See similar equations:

| 7x-12-3x=8x-5 | | 16-12m+2m^2= | | x-2/4=7/2 | | 7squared=3 | | 450,000x=42,750 | | 9x-2(x-5)=7x+5 | | 3.15(-4+1)=15x | | abs(5-2x)=x+3 | | 7-8x=192-43x | | a=x-y+4 | | 3x+126=8x-12 | | x^9-4x^8-60x^7= | | 27+3y-9=15y-14-4y | | 8x+54=2x+138 | | x/36=4/9 | | 11x-2y=-12 | | 7x+144=3x+120 | | 0.3(3z+6)+13.8=0.6(3z-4) | | m/9-1=(-2) | | 6x-12=3x+45 | | x^3-25x+48=0 | | 5h-4(5+h)=(-32) | | 4x-2=2x+32 | | 9.5d+2+8d=-29.5 | | X/3-5=13 | | 5(1-2w)+8w=-15 | | -1=5+a/6 | | x/6+5=1 | | 4x^2y+60xy-52y= | | 2x+5+6x-1=20 | | (4x+5)(3x-7)-(x+2)(4x-2)=72-33x | | 5/2(Y-10)-1/6 |

Equations solver categories