(x-6y)(x-7y)=

Solution for (x-6y)(x-7y)= equation:

Simplifying
(x + -6y)(x + -7y) = 0

Multiply (x + -6y) * (x + -7y)
(x(x + -7y) + -6y * (x + -7y)) = 0
((x * x + -7y * x) + -6y * (x + -7y)) = 0

Reorder the terms:
((-7xy + x2) + -6y * (x + -7y)) = 0
((-7xy + x2) + -6y * (x + -7y)) = 0
(-7xy + x2 + (x * -6y + -7y * -6y)) = 0
(-7xy + x2 + (-6xy + 42y2)) = 0

Reorder the terms:
(-7xy + -6xy + x2 + 42y2) = 0

Combine like terms: -7xy + -6xy = -13xy
(-13xy + x2 + 42y2) = 0

Solving
-13xy + x2 + 42y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -7y)(x + -6y) = 0

Subproblem 1
Set the factor '(x + -7y)' equal to zero and attempt to solve:

Simplifying
x + -7y = 0

Solving
x + -7y = 0

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

Add '7y' to each side of the equation.
x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
x + 0 = 0 + 7y
x = 0 + 7y
Remove the zero:
x = 7y

Simplifying
x = 7y
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 = {7y, 6y}