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

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


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

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

Reorder the terms:
((6xy + 5x2) + -6y * (5x + 6y)) = 0
((6xy + 5x2) + -6y * (5x + 6y)) = 0
(6xy + 5x2 + (5x * -6y + 6y * -6y)) = 0
(6xy + 5x2 + (-30xy + -36y2)) = 0

Reorder the terms:
(6xy + -30xy + 5x2 + -36y2) = 0

Combine like terms: 6xy + -30xy = -24xy
(-24xy + 5x2 + -36y2) = 0

Solving
-24xy + 5x2 + -36y2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(5x + 6y)' equal to zero and attempt to solve:

Simplifying
5x + 6y = 0

Solving
5x + 6y = 0

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

Add '-6y' to each side of the equation.
5x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0
5x + 0 = 0 + -6y
5x = 0 + -6y
Remove the zero:
5x = -6y

Divide each side by '5'.
x = -1.2y

Simplifying
x = -1.2y
Solution
x = {6y, -1.2y}

See similar equations:

| 3y+x=0 | | (8x-3)-(4x-8)= | | 5x-25=2(2x+3) | | -3-3y=-15x | | y+1=3(0-2) | | 35-x=-8-3(1+8x) | | 3x+2=5x-24 | | 17=4(a-2)+2 | | 6*g=9 | | 2x^2+27x-8.7=0 | | Y-2-x=0 | | 32x+32=27x | | -11-3x=10-4x | | 4(8-x)=16 | | 5x-(2.2x+8)= | | 74/22200= | | -6=2h-10 | | 8-0(9+0)= | | -5+8=72 | | m-3.41=10.7 | | 3=-y | | Y-3=3.2(x-1) | | 22200/74= | | -18+24+(-13)+(-19)= | | -3y+3x=6 | | -2y-2x=14 | | 5x-17=-52 | | 7z=18-25 | | 3x=-2+y | | m+8=5m | | -24-1/8p | | 4x-5y-3z=-18 |

Equations solver categories