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

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


Simplifying
(2x + -7y)(7x + -1y) = 0

Multiply (2x + -7y) * (7x + -1y)
(2x * (7x + -1y) + -7y * (7x + -1y)) = 0
((7x * 2x + -1y * 2x) + -7y * (7x + -1y)) = 0

Reorder the terms:
((-2xy + 14x2) + -7y * (7x + -1y)) = 0
((-2xy + 14x2) + -7y * (7x + -1y)) = 0
(-2xy + 14x2 + (7x * -7y + -1y * -7y)) = 0
(-2xy + 14x2 + (-49xy + 7y2)) = 0

Reorder the terms:
(-2xy + -49xy + 14x2 + 7y2) = 0

Combine like terms: -2xy + -49xy = -51xy
(-51xy + 14x2 + 7y2) = 0

Solving
-51xy + 14x2 + 7y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -7y)(7x + -1y) = 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 '(7x + -1y)' equal to zero and attempt to solve:

Simplifying
7x + -1y = 0

Solving
7x + -1y = 0

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

Add 'y' to each side of the equation.
7x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
7x + 0 = 0 + y
7x = 0 + y
Remove the zero:
7x = y

Divide each side by '7'.
x = 0.1428571429y

Simplifying
x = 0.1428571429y
Solution
x = {3.5y, 0.1428571429y}

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