(4c+5d)(4c-5d)=

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Solution for (4c+5d)(4c-5d)= equation: 


Simplifying
(4c + 5d)(4c + -5d) = 0

Multiply (4c + 5d) * (4c + -5d)
(4c * (4c + -5d) + 5d * (4c + -5d)) = 0
((4c * 4c + -5d * 4c) + 5d * (4c + -5d)) = 0

Reorder the terms:
((-20cd + 16c2) + 5d * (4c + -5d)) = 0
((-20cd + 16c2) + 5d * (4c + -5d)) = 0
(-20cd + 16c2 + (4c * 5d + -5d * 5d)) = 0
(-20cd + 16c2 + (20cd + -25d2)) = 0

Reorder the terms:
(-20cd + 20cd + 16c2 + -25d2) = 0

Combine like terms: -20cd + 20cd = 0
(0 + 16c2 + -25d2) = 0
(16c2 + -25d2) = 0

Solving
16c2 + -25d2 = 0

Solving for variable 'c'.

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

Add '25d2' to each side of the equation.
16c2 + -25d2 + 25d2 = 0 + 25d2

Combine like terms: -25d2 + 25d2 = 0
16c2 + 0 = 0 + 25d2
16c2 = 0 + 25d2
Remove the zero:
16c2 = 25d2

Divide each side by '16'.
c2 = 1.5625d2

Simplifying
c2 = 1.5625d2

Take the square root of each side:
c = {-1.25d, 1.25d}

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