(x-3y)(2x-7y)=

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Solution for (x-3y)(2x-7y)= equation: 


Simplifying
(x + -3y)(2x + -7y) = 0

Multiply (x + -3y) * (2x + -7y)
(x(2x + -7y) + -3y * (2x + -7y)) = 0
((2x * x + -7y * x) + -3y * (2x + -7y)) = 0

Reorder the terms:
((-7xy + 2x2) + -3y * (2x + -7y)) = 0
((-7xy + 2x2) + -3y * (2x + -7y)) = 0
(-7xy + 2x2 + (2x * -3y + -7y * -3y)) = 0
(-7xy + 2x2 + (-6xy + 21y2)) = 0

Reorder the terms:
(-7xy + -6xy + 2x2 + 21y2) = 0

Combine like terms: -7xy + -6xy = -13xy
(-13xy + 2x2 + 21y2) = 0

Solving
-13xy + 2x2 + 21y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -7y)(x + -3y) = 0


Subproblem 1
Set the factor '(2x + -7y)' equal to zero and attempt to solve:

Simplifying
2x + -7y = 0

Solving
2x + -7y = 0

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

Add '7y' to each side of the equation.
2x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
2x + 0 = 0 + 7y
2x = 0 + 7y
Remove the zero:
2x = 7y

Divide each side by '2'.
x = 3.5y

Simplifying
x = 3.5y

Subproblem 2
Set the factor '(x + -3y)' equal to zero and attempt to solve:

Simplifying
x + -3y = 0

Solving
x + -3y = 0

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

Add '3y' to each side of the equation.
x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
x + 0 = 0 + 3y
x = 0 + 3y
Remove the zero:
x = 3y

Simplifying
x = 3y
Solution
x = {3.5y, 3y}

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