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

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


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

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

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

Reorder the terms:
(15xy + 2xy + -6x2 + -5y2) = 0

Combine like terms: 15xy + 2xy = 17xy
(17xy + -6x2 + -5y2) = 0

Solving
17xy + -6x2 + -5y2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-3x + y)' equal to zero and attempt to solve:

Simplifying
-3x + y = 0

Solving
-3x + y = 0

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

Add '-1y' to each side of the equation.
-3x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-3x + 0 = 0 + -1y
-3x = 0 + -1y
Remove the zero:
-3x = -1y

Divide each side by '-3'.
x = 0.3333333333y

Simplifying
x = 0.3333333333y

Subproblem 2
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
Solution
x = {0.3333333333y, 2.5y}

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