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

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


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

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

Reorder the terms:
((6xy + 15x2) + -7y * (-5x + -2y)) = 0
((6xy + 15x2) + -7y * (-5x + -2y)) = 0
(6xy + 15x2 + (-5x * -7y + -2y * -7y)) = 0
(6xy + 15x2 + (35xy + 14y2)) = 0

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

Combine like terms: 6xy + 35xy = 41xy
(41xy + 15x2 + 14y2) = 0

Solving
41xy + 15x2 + 14y2 = 0

Solving for variable 'x'.

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


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

Simplifying
5x + 2y = 0

Solving
5x + 2y = 0

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

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

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

Divide each side by '5'.
x = -0.4y

Simplifying
x = -0.4y

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 = {-0.4y, -2.333333333y}

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