(2x-5y)(3x-7y)=

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Solution for (2x-5y)(3x-7y)= equation: 


Simplifying
(2x + -5y)(3x + -7y) = 0

Multiply (2x + -5y) * (3x + -7y)
(2x * (3x + -7y) + -5y * (3x + -7y)) = 0
((3x * 2x + -7y * 2x) + -5y * (3x + -7y)) = 0

Reorder the terms:
((-14xy + 6x2) + -5y * (3x + -7y)) = 0
((-14xy + 6x2) + -5y * (3x + -7y)) = 0
(-14xy + 6x2 + (3x * -5y + -7y * -5y)) = 0
(-14xy + 6x2 + (-15xy + 35y2)) = 0

Reorder the terms:
(-14xy + -15xy + 6x2 + 35y2) = 0

Combine like terms: -14xy + -15xy = -29xy
(-29xy + 6x2 + 35y2) = 0

Solving
-29xy + 6x2 + 35y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -5y)(3x + -7y) = 0


Subproblem 1
Set the factor '(2x + -5y)' equal to zero and attempt to solve:

Simplifying
2x + -5y = 0

Solving
2x + -5y = 0

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

Add '5y' to each side of the equation.
2x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
2x + 0 = 0 + 5y
2x = 0 + 5y
Remove the zero:
2x = 5y

Divide each side by '2'.
x = 2.5y

Simplifying
x = 2.5y

Subproblem 2
Set the factor '(3x + -7y)' equal to zero and attempt to solve:

Simplifying
3x + -7y = 0

Solving
3x + -7y = 0

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

Add '7y' to each side of the equation.
3x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
3x + 0 = 0 + 7y
3x = 0 + 7y
Remove the zero:
3x = 7y

Divide each side by '3'.
x = 2.333333333y

Simplifying
x = 2.333333333y
Solution
x = {2.5y, 2.333333333y}

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