(5c-9d)(5c+9d)=

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Solution for (5c-9d)(5c+9d)= equation: 


Simplifying
(5c + -9d)(5c + 9d) = 0

Multiply (5c + -9d) * (5c + 9d)
(5c * (5c + 9d) + -9d * (5c + 9d)) = 0
((5c * 5c + 9d * 5c) + -9d * (5c + 9d)) = 0

Reorder the terms:
((45cd + 25c2) + -9d * (5c + 9d)) = 0
((45cd + 25c2) + -9d * (5c + 9d)) = 0
(45cd + 25c2 + (5c * -9d + 9d * -9d)) = 0
(45cd + 25c2 + (-45cd + -81d2)) = 0

Reorder the terms:
(45cd + -45cd + 25c2 + -81d2) = 0

Combine like terms: 45cd + -45cd = 0
(0 + 25c2 + -81d2) = 0
(25c2 + -81d2) = 0

Solving
25c2 + -81d2 = 0

Solving for variable 'c'.

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

Add '81d2' to each side of the equation.
25c2 + -81d2 + 81d2 = 0 + 81d2

Combine like terms: -81d2 + 81d2 = 0
25c2 + 0 = 0 + 81d2
25c2 = 0 + 81d2
Remove the zero:
25c2 = 81d2

Divide each side by '25'.
c2 = 3.24d2

Simplifying
c2 = 3.24d2

Take the square root of each side:
c = {-1.8d, 1.8d}

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