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

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

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

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

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

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

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

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

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

Solving
0 = -64x2 + 25y2

Solving for variable 'x'.

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

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

Combine like terms: -64x2 + 64x2 = 0
64x2 = 0 + 25y2
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}