(5c+d)(5c-d)=

Solution for (5c+d)(5c-d)= equation:

Simplifying
(5c + d)(5c + -1d) = 0

Multiply (5c + d) * (5c + -1d)
(5c * (5c + -1d) + d(5c + -1d)) = 0
((5c * 5c + -1d * 5c) + d(5c + -1d)) = 0

Reorder the terms:
((-5cd + 25c2) + d(5c + -1d)) = 0
((-5cd + 25c2) + d(5c + -1d)) = 0
(-5cd + 25c2 + (5c * d + -1d * d)) = 0
(-5cd + 25c2 + (5cd + -1d2)) = 0

Reorder the terms:
(-5cd + 5cd + 25c2 + -1d2) = 0

Combine like terms: -5cd + 5cd = 0
(0 + 25c2 + -1d2) = 0
(25c2 + -1d2) = 0

Solving
25c2 + -1d2 = 0

Solving for variable 'c'.

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

Add 'd2' to each side of the equation.
25c2 + -1d2 + d2 = 0 + d2

Combine like terms: -1d2 + d2 = 0
25c2 + 0 = 0 + d2
25c2 = 0 + d2
Remove the zero:
25c2 = d2

Divide each side by '25'.
c2 = 0.04d2

Simplifying
c2 = 0.04d2

Take the square root of each side:
c = {-0.2d, 0.2d}