(10x-3y)(2x-5y)=

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Solution for (10x-3y)(2x-5y)= equation: 


Simplifying
(10x + -3y)(2x + -5y) = 0

Multiply (10x + -3y) * (2x + -5y)
(10x * (2x + -5y) + -3y * (2x + -5y)) = 0
((2x * 10x + -5y * 10x) + -3y * (2x + -5y)) = 0

Reorder the terms:
((-50xy + 20x2) + -3y * (2x + -5y)) = 0
((-50xy + 20x2) + -3y * (2x + -5y)) = 0
(-50xy + 20x2 + (2x * -3y + -5y * -3y)) = 0
(-50xy + 20x2 + (-6xy + 15y2)) = 0

Reorder the terms:
(-50xy + -6xy + 20x2 + 15y2) = 0

Combine like terms: -50xy + -6xy = -56xy
(-56xy + 20x2 + 15y2) = 0

Solving
-56xy + 20x2 + 15y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -5y)(10x + -3y) = 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 '(10x + -3y)' equal to zero and attempt to solve:

Simplifying
10x + -3y = 0

Solving
10x + -3y = 0

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

Add '3y' to each side of the equation.
10x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
10x + 0 = 0 + 3y
10x = 0 + 3y
Remove the zero:
10x = 3y

Divide each side by '10'.
x = 0.3y

Simplifying
x = 0.3y
Solution
x = {2.5y, 0.3y}

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