(2c-3d)(7c+4d)=

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Solution for (2c-3d)(7c+4d)= equation: 


Simplifying
(2c + -3d)(7c + 4d) = 0

Multiply (2c + -3d) * (7c + 4d)
(2c * (7c + 4d) + -3d * (7c + 4d)) = 0
((7c * 2c + 4d * 2c) + -3d * (7c + 4d)) = 0

Reorder the terms:
((8cd + 14c2) + -3d * (7c + 4d)) = 0
((8cd + 14c2) + -3d * (7c + 4d)) = 0
(8cd + 14c2 + (7c * -3d + 4d * -3d)) = 0
(8cd + 14c2 + (-21cd + -12d2)) = 0

Reorder the terms:
(8cd + -21cd + 14c2 + -12d2) = 0

Combine like terms: 8cd + -21cd = -13cd
(-13cd + 14c2 + -12d2) = 0

Solving
-13cd + 14c2 + -12d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(2c + -3d)(7c + 4d) = 0


Subproblem 1
Set the factor '(2c + -3d)' equal to zero and attempt to solve:

Simplifying
2c + -3d = 0

Solving
2c + -3d = 0

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

Add '3d' to each side of the equation.
2c + -3d + 3d = 0 + 3d

Combine like terms: -3d + 3d = 0
2c + 0 = 0 + 3d
2c = 0 + 3d
Remove the zero:
2c = 3d

Divide each side by '2'.
c = 1.5d

Simplifying
c = 1.5d

Subproblem 2
Set the factor '(7c + 4d)' equal to zero and attempt to solve:

Simplifying
7c + 4d = 0

Solving
7c + 4d = 0

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

Add '-4d' to each side of the equation.
7c + 4d + -4d = 0 + -4d

Combine like terms: 4d + -4d = 0
7c + 0 = 0 + -4d
7c = 0 + -4d
Remove the zero:
7c = -4d

Divide each side by '7'.
c = -0.5714285714d

Simplifying
c = -0.5714285714d
Solution
c = {1.5d, -0.5714285714d}

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