(-6x+1y)(5x-4y)=

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Solution for (-6x+1y)(5x-4y)= equation: 


Simplifying
(-6x + 1y)(5x + -4y) = 0

Multiply (-6x + 1y) * (5x + -4y)
(-6x * (5x + -4y) + 1y * (5x + -4y)) = 0
((5x * -6x + -4y * -6x) + 1y * (5x + -4y)) = 0

Reorder the terms:
((24xy + -30x2) + 1y * (5x + -4y)) = 0
((24xy + -30x2) + 1y * (5x + -4y)) = 0
(24xy + -30x2 + (5x * 1y + -4y * 1y)) = 0
(24xy + -30x2 + (5xy + -4y2)) = 0

Reorder the terms:
(24xy + 5xy + -30x2 + -4y2) = 0

Combine like terms: 24xy + 5xy = 29xy
(29xy + -30x2 + -4y2) = 0

Solving
29xy + -30x2 + -4y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6x + y)(5x + -4y) = 0


Subproblem 1
Set the factor '(-6x + y)' equal to zero and attempt to solve:

Simplifying
-6x + y = 0

Solving
-6x + y = 0

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

Add '-1y' to each side of the equation.
-6x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-6x + 0 = 0 + -1y
-6x = 0 + -1y
Remove the zero:
-6x = -1y

Divide each side by '-6'.
x = 0.1666666667y

Simplifying
x = 0.1666666667y

Subproblem 2
Set the factor '(5x + -4y)' equal to zero and attempt to solve:

Simplifying
5x + -4y = 0

Solving
5x + -4y = 0

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

Add '4y' to each side of the equation.
5x + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
5x + 0 = 0 + 4y
5x = 0 + 4y
Remove the zero:
5x = 4y

Divide each side by '5'.
x = 0.8y

Simplifying
x = 0.8y
Solution
x = {0.1666666667y, 0.8y}

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