=(8a+5b)(8a-5b)

Solution for =(8a+5b)(8a-5b) equation:

Simplifying
0 = (8a + 5b)(8a + -5b)

Multiply (8a + 5b) * (8a + -5b)
0 = (8a * (8a + -5b) + 5b * (8a + -5b))
0 = ((8a * 8a + -5b * 8a) + 5b * (8a + -5b))

Reorder the terms:
0 = ((-40ab + 64a2) + 5b * (8a + -5b))
0 = ((-40ab + 64a2) + 5b * (8a + -5b))
0 = (-40ab + 64a2 + (8a * 5b + -5b * 5b))
0 = (-40ab + 64a2 + (40ab + -25b2))

Reorder the terms:
0 = (-40ab + 40ab + 64a2 + -25b2)

Combine like terms: -40ab + 40ab = 0
0 = (0 + 64a2 + -25b2)
0 = (64a2 + -25b2)

Solving
0 = 64a2 + -25b2

Solving for variable 'a'.

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

Add '-64a2' to each side of the equation.
0 + -64a2 = 64a2 + -64a2 + -25b2
Remove the zero:
-64a2 = 64a2 + -64a2 + -25b2

Combine like terms: 64a2 + -64a2 = 0
-64a2 = 0 + -25b2
-64a2 = -25b2

Divide each side by '-64'.
a2 = 0.390625b2

Simplifying
a2 = 0.390625b2

Take the square root of each side:
a = {-0.625b, 0.625b}