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

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

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

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

Reorder the terms:
((-40ac + 64a2) + 5c * (8a + -5c)) = 0
((-40ac + 64a2) + 5c * (8a + -5c)) = 0
(-40ac + 64a2 + (8a * 5c + -5c * 5c)) = 0
(-40ac + 64a2 + (40ac + -25c2)) = 0

Reorder the terms:
(-40ac + 40ac + 64a2 + -25c2) = 0

Combine like terms: -40ac + 40ac = 0
(0 + 64a2 + -25c2) = 0
(64a2 + -25c2) = 0

Solving
64a2 + -25c2 = 0

Solving for variable 'a'.

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

Add '25c2' to each side of the equation.
64a2 + -25c2 + 25c2 = 0 + 25c2

Combine like terms: -25c2 + 25c2 = 0
64a2 + 0 = 0 + 25c2
64a2 = 0 + 25c2
Remove the zero:
64a2 = 25c2

Divide each side by '64'.
a2 = 0.390625c2

Simplifying
a2 = 0.390625c2

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