(5c-3d)(5c+2d)=

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Solution for (5c-3d)(5c+2d)= equation: 


Simplifying
(5c + -3d)(5c + 2d) = 0

Multiply (5c + -3d) * (5c + 2d)
(5c * (5c + 2d) + -3d * (5c + 2d)) = 0
((5c * 5c + 2d * 5c) + -3d * (5c + 2d)) = 0

Reorder the terms:
((10cd + 25c2) + -3d * (5c + 2d)) = 0
((10cd + 25c2) + -3d * (5c + 2d)) = 0
(10cd + 25c2 + (5c * -3d + 2d * -3d)) = 0
(10cd + 25c2 + (-15cd + -6d2)) = 0

Reorder the terms:
(10cd + -15cd + 25c2 + -6d2) = 0

Combine like terms: 10cd + -15cd = -5cd
(-5cd + 25c2 + -6d2) = 0

Solving
-5cd + 25c2 + -6d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(5c + -3d)(5c + 2d) = 0


Subproblem 1
Set the factor '(5c + -3d)' equal to zero and attempt to solve:

Simplifying
5c + -3d = 0

Solving
5c + -3d = 0

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

Add '3d' to each side of the equation.
5c + -3d + 3d = 0 + 3d

Combine like terms: -3d + 3d = 0
5c + 0 = 0 + 3d
5c = 0 + 3d
Remove the zero:
5c = 3d

Divide each side by '5'.
c = 0.6d

Simplifying
c = 0.6d

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

Simplifying
5c + 2d = 0

Solving
5c + 2d = 0

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

Add '-2d' to each side of the equation.
5c + 2d + -2d = 0 + -2d

Combine like terms: 2d + -2d = 0
5c + 0 = 0 + -2d
5c = 0 + -2d
Remove the zero:
5c = -2d

Divide each side by '5'.
c = -0.4d

Simplifying
c = -0.4d
Solution
c = {0.6d, -0.4d}

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