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

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

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

Reorder the terms:
(8x + 5y)(-8x + 5y) = 0

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

Reorder the terms:
((40xy + -64x2) + 5y * (-8x + 5y)) = 0
((40xy + -64x2) + 5y * (-8x + 5y)) = 0
(40xy + -64x2 + (-8x * 5y + 5y * 5y)) = 0
(40xy + -64x2 + (-40xy + 25y2)) = 0

Reorder the terms:
(40xy + -40xy + -64x2 + 25y2) = 0

Combine like terms: 40xy + -40xy = 0
(0 + -64x2 + 25y2) = 0
(-64x2 + 25y2) = 0

Solving
-64x2 + 25y2 = 0

Solving for variable 'x'.

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

Add '-25y2' to each side of the equation.
-64x2 + 25y2 + -25y2 = 0 + -25y2

Combine like terms: 25y2 + -25y2 = 0
-64x2 + 0 = 0 + -25y2
-64x2 = 0 + -25y2
Remove the zero:
-64x2 = -25y2

Divide each side by '-64'.
x2 = 0.390625y2

Simplifying
x2 = 0.390625y2

Take the square root of each side:
x = {-0.625y, 0.625y}