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

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

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

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

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

Multiply (-8 + 5b) * (8 + 5b)
(-8(8 + 5b) + 5b * (8 + 5b)) = 0
((8 * -8 + 5b * -8) + 5b * (8 + 5b)) = 0
((-64 + -40b) + 5b * (8 + 5b)) = 0
(-64 + -40b + (8 * 5b + 5b * 5b)) = 0
(-64 + -40b + (40b + 25b2)) = 0

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

Solving
-64 + 25b2 = 0

Solving for variable 'b'.

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

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

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

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

Divide each side by '25'.
b2 = 2.56

Simplifying
b2 = 2.56

Take the square root of each side:
b = {-1.6, 1.6}