(x-12y)(x-7y)=

Solution for (x-12y)(x-7y)= equation:

Simplifying
(x + -12y)(x + -7y) = 0

Multiply (x + -12y) * (x + -7y)
(x(x + -7y) + -12y * (x + -7y)) = 0
((x * x + -7y * x) + -12y * (x + -7y)) = 0

Reorder the terms:
((-7xy + x2) + -12y * (x + -7y)) = 0
((-7xy + x2) + -12y * (x + -7y)) = 0
(-7xy + x2 + (x * -12y + -7y * -12y)) = 0
(-7xy + x2 + (-12xy + 84y2)) = 0

Reorder the terms:
(-7xy + -12xy + x2 + 84y2) = 0

Combine like terms: -7xy + -12xy = -19xy
(-19xy + x2 + 84y2) = 0

Solving
-19xy + x2 + 84y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -12y)(x + -7y) = 0

Subproblem 1
Set the factor '(x + -12y)' equal to zero and attempt to solve:

Simplifying
x + -12y = 0

Solving
x + -12y = 0

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

Add '12y' to each side of the equation.
x + -12y + 12y = 0 + 12y

Combine like terms: -12y + 12y = 0
x + 0 = 0 + 12y
x = 0 + 12y
Remove the zero:
x = 12y

Simplifying
x = 12y
Subproblem 2
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
Solution
x = {12y, 7y}