(8x-5y)(9x-y)=

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Solution for (8x-5y)(9x-y)= equation: 


Simplifying
(8x + -5y)(9x + -1y) = 0

Multiply (8x + -5y) * (9x + -1y)
(8x * (9x + -1y) + -5y * (9x + -1y)) = 0
((9x * 8x + -1y * 8x) + -5y * (9x + -1y)) = 0

Reorder the terms:
((-8xy + 72x2) + -5y * (9x + -1y)) = 0
((-8xy + 72x2) + -5y * (9x + -1y)) = 0
(-8xy + 72x2 + (9x * -5y + -1y * -5y)) = 0
(-8xy + 72x2 + (-45xy + 5y2)) = 0

Reorder the terms:
(-8xy + -45xy + 72x2 + 5y2) = 0

Combine like terms: -8xy + -45xy = -53xy
(-53xy + 72x2 + 5y2) = 0

Solving
-53xy + 72x2 + 5y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8x + -5y)(9x + -1y) = 0


Subproblem 1
Set the factor '(8x + -5y)' equal to zero and attempt to solve:

Simplifying
8x + -5y = 0

Solving
8x + -5y = 0

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

Add '5y' to each side of the equation.
8x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
8x + 0 = 0 + 5y
8x = 0 + 5y
Remove the zero:
8x = 5y

Divide each side by '8'.
x = 0.625y

Simplifying
x = 0.625y

Subproblem 2
Set the factor '(9x + -1y)' equal to zero and attempt to solve:

Simplifying
9x + -1y = 0

Solving
9x + -1y = 0

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

Add 'y' to each side of the equation.
9x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
9x + 0 = 0 + y
9x = 0 + y
Remove the zero:
9x = y

Divide each side by '9'.
x = 0.1111111111y

Simplifying
x = 0.1111111111y
Solution
x = {0.625y, 0.1111111111y}

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