(2c-5d)(2c+7d)=

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Solution for (2c-5d)(2c+7d)= equation: 


Simplifying
(2c + -5d)(2c + 7d) = 0

Multiply (2c + -5d) * (2c + 7d)
(2c * (2c + 7d) + -5d * (2c + 7d)) = 0
((2c * 2c + 7d * 2c) + -5d * (2c + 7d)) = 0

Reorder the terms:
((14cd + 4c2) + -5d * (2c + 7d)) = 0
((14cd + 4c2) + -5d * (2c + 7d)) = 0
(14cd + 4c2 + (2c * -5d + 7d * -5d)) = 0
(14cd + 4c2 + (-10cd + -35d2)) = 0

Reorder the terms:
(14cd + -10cd + 4c2 + -35d2) = 0

Combine like terms: 14cd + -10cd = 4cd
(4cd + 4c2 + -35d2) = 0

Solving
4cd + 4c2 + -35d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(2c + -5d)(2c + 7d) = 0


Subproblem 1
Set the factor '(2c + -5d)' equal to zero and attempt to solve:

Simplifying
2c + -5d = 0

Solving
2c + -5d = 0

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

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

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

Divide each side by '2'.
c = 2.5d

Simplifying
c = 2.5d

Subproblem 2
Set the factor '(2c + 7d)' equal to zero and attempt to solve:

Simplifying
2c + 7d = 0

Solving
2c + 7d = 0

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

Add '-7d' to each side of the equation.
2c + 7d + -7d = 0 + -7d

Combine like terms: 7d + -7d = 0
2c + 0 = 0 + -7d
2c = 0 + -7d
Remove the zero:
2c = -7d

Divide each side by '2'.
c = -3.5d

Simplifying
c = -3.5d
Solution
c = {2.5d, -3.5d}

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