12d(4c-3d)+2c(4d-6)=

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Solution for 12d(4c-3d)+2c(4d-6)= equation: 


Simplifying
12d(4c + -3d) + 2c(4d + -6) = 0
(4c * 12d + -3d * 12d) + 2c(4d + -6) = 0
(48cd + -36d2) + 2c(4d + -6) = 0

Reorder the terms:
48cd + -36d2 + 2c(-6 + 4d) = 0
48cd + -36d2 + (-6 * 2c + 4d * 2c) = 0
48cd + -36d2 + (-12c + 8cd) = 0

Reorder the terms:
-12c + 48cd + 8cd + -36d2 = 0

Combine like terms: 48cd + 8cd = 56cd
-12c + 56cd + -36d2 = 0

Solving
-12c + 56cd + -36d2 = 0

Solving for variable 'c'.

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

Add '36d2' to each side of the equation.
-12c + 56cd + -36d2 + 36d2 = 0 + 36d2

Combine like terms: -36d2 + 36d2 = 0
-12c + 56cd + 0 = 0 + 36d2
-12c + 56cd = 0 + 36d2
Remove the zero:
-12c + 56cd = 36d2

Combine like terms: 36d2 + -36d2 = 0
-12c + 56cd + -36d2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-3c + 14cd + -9d2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-3c + 14cd + -9d2)' equal to zero and attempt to solve:

Simplifying
-3c + 14cd + -9d2 = 0

Solving
-3c + 14cd + -9d2 = 0

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

Add '9d2' to each side of the equation.
-3c + 14cd + -9d2 + 9d2 = 0 + 9d2

Combine like terms: -9d2 + 9d2 = 0
-3c + 14cd + 0 = 0 + 9d2
-3c + 14cd = 0 + 9d2
Remove the zero:
-3c + 14cd = 9d2

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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