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

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


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

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

Reorder the terms:
((64xy + -72x2) + 5y * (-9x + 8y)) = 0
((64xy + -72x2) + 5y * (-9x + 8y)) = 0
(64xy + -72x2 + (-9x * 5y + 8y * 5y)) = 0
(64xy + -72x2 + (-45xy + 40y2)) = 0

Reorder the terms:
(64xy + -45xy + -72x2 + 40y2) = 0

Combine like terms: 64xy + -45xy = 19xy
(19xy + -72x2 + 40y2) = 0

Solving
19xy + -72x2 + 40y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8x + -5y)(9x + -8y) = 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 + -8y)' equal to zero and attempt to solve:

Simplifying
9x + -8y = 0

Solving
9x + -8y = 0

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

Add '8y' to each side of the equation.
9x + -8y + 8y = 0 + 8y

Combine like terms: -8y + 8y = 0
9x + 0 = 0 + 8y
9x = 0 + 8y
Remove the zero:
9x = 8y

Divide each side by '9'.
x = 0.8888888889y

Simplifying
x = 0.8888888889y
Solution
x = {-0.625y, 0.8888888889y}

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