(5c+d)(5c-6d)=

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Solution for (5c+d)(5c-6d)= equation: 


Simplifying
(5c + d)(5c + -6d) = 0

Multiply (5c + d) * (5c + -6d)
(5c * (5c + -6d) + d(5c + -6d)) = 0
((5c * 5c + -6d * 5c) + d(5c + -6d)) = 0

Reorder the terms:
((-30cd + 25c2) + d(5c + -6d)) = 0
((-30cd + 25c2) + d(5c + -6d)) = 0
(-30cd + 25c2 + (5c * d + -6d * d)) = 0
(-30cd + 25c2 + (5cd + -6d2)) = 0

Reorder the terms:
(-30cd + 5cd + 25c2 + -6d2) = 0

Combine like terms: -30cd + 5cd = -25cd
(-25cd + 25c2 + -6d2) = 0

Solving
-25cd + 25c2 + -6d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(5c + -6d)(5c + d) = 0


Subproblem 1
Set the factor '(5c + -6d)' equal to zero and attempt to solve:

Simplifying
5c + -6d = 0

Solving
5c + -6d = 0

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

Add '6d' to each side of the equation.
5c + -6d + 6d = 0 + 6d

Combine like terms: -6d + 6d = 0
5c + 0 = 0 + 6d
5c = 0 + 6d
Remove the zero:
5c = 6d

Divide each side by '5'.
c = 1.2d

Simplifying
c = 1.2d

Subproblem 2
Set the factor '(5c + d)' equal to zero and attempt to solve:

Simplifying
5c + d = 0

Solving
5c + d = 0

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

Add '-1d' to each side of the equation.
5c + d + -1d = 0 + -1d

Combine like terms: d + -1d = 0
5c + 0 = 0 + -1d
5c = 0 + -1d
Remove the zero:
5c = -1d

Divide each side by '5'.
c = -0.2d

Simplifying
c = -0.2d
Solution
c = {1.2d, -0.2d}

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