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

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


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

Reorder the terms:
(10x + -3y)(-3x + 10y) = 0

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

Reorder the terms:
((100xy + -30x2) + -3y * (-3x + 10y)) = 0
((100xy + -30x2) + -3y * (-3x + 10y)) = 0
(100xy + -30x2 + (-3x * -3y + 10y * -3y)) = 0
(100xy + -30x2 + (9xy + -30y2)) = 0

Reorder the terms:
(100xy + 9xy + -30x2 + -30y2) = 0

Combine like terms: 100xy + 9xy = 109xy
(109xy + -30x2 + -30y2) = 0

Solving
109xy + -30x2 + -30y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10x + 3y)(3x + -10y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(3x + -10y)' equal to zero and attempt to solve:

Simplifying
3x + -10y = 0

Solving
3x + -10y = 0

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

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

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

Divide each side by '3'.
x = 3.333333333y

Simplifying
x = 3.333333333y
Solution
x = {0.3y, 3.333333333y}

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