(x-5y)(7x-5y)=

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Solution for (x-5y)(7x-5y)= equation: 


Simplifying
(x + -5y)(7x + -5y) = 0

Multiply (x + -5y) * (7x + -5y)
(x(7x + -5y) + -5y * (7x + -5y)) = 0
((7x * x + -5y * x) + -5y * (7x + -5y)) = 0

Reorder the terms:
((-5xy + 7x2) + -5y * (7x + -5y)) = 0
((-5xy + 7x2) + -5y * (7x + -5y)) = 0
(-5xy + 7x2 + (7x * -5y + -5y * -5y)) = 0
(-5xy + 7x2 + (-35xy + 25y2)) = 0

Reorder the terms:
(-5xy + -35xy + 7x2 + 25y2) = 0

Combine like terms: -5xy + -35xy = -40xy
(-40xy + 7x2 + 25y2) = 0

Solving
-40xy + 7x2 + 25y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -5y)(7x + -5y) = 0


Subproblem 1
Set the factor '(x + -5y)' equal to zero and attempt to solve:

Simplifying
x + -5y = 0

Solving
x + -5y = 0

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

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

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

Simplifying
x = 5y

Subproblem 2
Set the factor '(7x + -5y)' equal to zero and attempt to solve:

Simplifying
7x + -5y = 0

Solving
7x + -5y = 0

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

Add '5y' to each side of the equation.
7x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
7x + 0 = 0 + 5y
7x = 0 + 5y
Remove the zero:
7x = 5y

Divide each side by '7'.
x = 0.7142857143y

Simplifying
x = 0.7142857143y
Solution
x = {5y, 0.7142857143y}

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