(5c+3d)(5c-3d)=

Solution for (5c+3d)(5c-3d)= equation:

Simplifying
(5c + 3d)(5c + -3d) = 0

Multiply (5c + 3d) * (5c + -3d)
(5c * (5c + -3d) + 3d * (5c + -3d)) = 0
((5c * 5c + -3d * 5c) + 3d * (5c + -3d)) = 0

Reorder the terms:
((-15cd + 25c2) + 3d * (5c + -3d)) = 0
((-15cd + 25c2) + 3d * (5c + -3d)) = 0
(-15cd + 25c2 + (5c * 3d + -3d * 3d)) = 0
(-15cd + 25c2 + (15cd + -9d2)) = 0

Reorder the terms:
(-15cd + 15cd + 25c2 + -9d2) = 0

Combine like terms: -15cd + 15cd = 0
(0 + 25c2 + -9d2) = 0
(25c2 + -9d2) = 0

Solving
25c2 + -9d2 = 0

Solving for variable 'c'.

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

Add '9d2' to each side of the equation.
25c2 + -9d2 + 9d2 = 0 + 9d2

Combine like terms: -9d2 + 9d2 = 0
25c2 + 0 = 0 + 9d2
25c2 = 0 + 9d2
Remove the zero:
25c2 = 9d2

Divide each side by '25'.
c2 = 0.36d2

Simplifying
c2 = 0.36d2

Take the square root of each side:
c = {-0.6d, 0.6d}