5(4c-2d)+2d-6d(d-3c)=

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Solution for 5(4c-2d)+2d-6d(d-3c)= equation: 


Simplifying
5(4c + -2d) + 2d + -6d(d + -3c) = 0
(4c * 5 + -2d * 5) + 2d + -6d(d + -3c) = 0
(20c + -10d) + 2d + -6d(d + -3c) = 0

Reorder the terms:
20c + -10d + 2d + -6d(-3c + d) = 0
20c + -10d + 2d + (-3c * -6d + d * -6d) = 0
20c + -10d + 2d + (18cd + -6d2) = 0

Reorder the terms:
20c + 18cd + -10d + 2d + -6d2 = 0

Combine like terms: -10d + 2d = -8d
20c + 18cd + -8d + -6d2 = 0

Solving
20c + 18cd + -8d + -6d2 = 0

Solving for variable 'c'.

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

Add '8d' to each side of the equation.
20c + 18cd + -8d + 8d + -6d2 = 0 + 8d

Combine like terms: -8d + 8d = 0
20c + 18cd + 0 + -6d2 = 0 + 8d
20c + 18cd + -6d2 = 0 + 8d
Remove the zero:
20c + 18cd + -6d2 = 8d

Add '6d2' to each side of the equation.
20c + 18cd + -6d2 + 6d2 = 8d + 6d2

Combine like terms: -6d2 + 6d2 = 0
20c + 18cd + 0 = 8d + 6d2
20c + 18cd = 8d + 6d2

Reorder the terms:
20c + 18cd + -8d + -6d2 = 8d + -8d + 6d2 + -6d2

Combine like terms: 8d + -8d = 0
20c + 18cd + -8d + -6d2 = 0 + 6d2 + -6d2
20c + 18cd + -8d + -6d2 = 6d2 + -6d2

Combine like terms: 6d2 + -6d2 = 0
20c + 18cd + -8d + -6d2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(10c + 9cd + -4d + -3d2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(10c + 9cd + -4d + -3d2)' equal to zero and attempt to solve:

Simplifying
10c + 9cd + -4d + -3d2 = 0

Solving
10c + 9cd + -4d + -3d2 = 0

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

Add '4d' to each side of the equation.
10c + 9cd + -4d + 4d + -3d2 = 0 + 4d

Combine like terms: -4d + 4d = 0
10c + 9cd + 0 + -3d2 = 0 + 4d
10c + 9cd + -3d2 = 0 + 4d
Remove the zero:
10c + 9cd + -3d2 = 4d

Add '3d2' to each side of the equation.
10c + 9cd + -3d2 + 3d2 = 4d + 3d2

Combine like terms: -3d2 + 3d2 = 0
10c + 9cd + 0 = 4d + 3d2
10c + 9cd = 4d + 3d2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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