(3x-10y)(6x-5y)=

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Solution for (3x-10y)(6x-5y)= equation: 


Simplifying
(3x + -10y)(6x + -5y) = 0

Multiply (3x + -10y) * (6x + -5y)
(3x * (6x + -5y) + -10y * (6x + -5y)) = 0
((6x * 3x + -5y * 3x) + -10y * (6x + -5y)) = 0

Reorder the terms:
((-15xy + 18x2) + -10y * (6x + -5y)) = 0
((-15xy + 18x2) + -10y * (6x + -5y)) = 0
(-15xy + 18x2 + (6x * -10y + -5y * -10y)) = 0
(-15xy + 18x2 + (-60xy + 50y2)) = 0

Reorder the terms:
(-15xy + -60xy + 18x2 + 50y2) = 0

Combine like terms: -15xy + -60xy = -75xy
(-75xy + 18x2 + 50y2) = 0

Solving
-75xy + 18x2 + 50y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + -10y)(6x + -5y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(6x + -5y)' equal to zero and attempt to solve:

Simplifying
6x + -5y = 0

Solving
6x + -5y = 0

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

Add '5y' to each side of the equation.
6x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
6x + 0 = 0 + 5y
6x = 0 + 5y
Remove the zero:
6x = 5y

Divide each side by '6'.
x = 0.8333333333y

Simplifying
x = 0.8333333333y
Solution
x = {3.333333333y, 0.8333333333y}

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