(4cp-6c^2p+12cp^2)-(10cp^2-4cp-12c^2p)=

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Solution for (4cp-6c^2p+12cp^2)-(10cp^2-4cp-12c^2p)= equation: 


Simplifying
(4cp + -6c2p + 12cp2) + -1(10cp2 + -4cp + -12c2p) = 0

Reorder the terms:
(4cp + 12cp2 + -6c2p) + -1(10cp2 + -4cp + -12c2p) = 0

Remove parenthesis around (4cp + 12cp2 + -6c2p)
4cp + 12cp2 + -6c2p + -1(10cp2 + -4cp + -12c2p) = 0

Reorder the terms:
4cp + 12cp2 + -6c2p + -1(-4cp + 10cp2 + -12c2p) = 0
4cp + 12cp2 + -6c2p + (-4cp * -1 + 10cp2 * -1 + -12c2p * -1) = 0
4cp + 12cp2 + -6c2p + (4cp + -10cp2 + 12c2p) = 0

Reorder the terms:
4cp + 4cp + 12cp2 + -10cp2 + -6c2p + 12c2p = 0

Combine like terms: 4cp + 4cp = 8cp
8cp + 12cp2 + -10cp2 + -6c2p + 12c2p = 0

Combine like terms: 12cp2 + -10cp2 = 2cp2
8cp + 2cp2 + -6c2p + 12c2p = 0

Combine like terms: -6c2p + 12c2p = 6c2p
8cp + 2cp2 + 6c2p = 0

Solving
8cp + 2cp2 + 6c2p = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2cp'.
2cp(4 + p + 3c) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'cp' equal to zero and attempt to solve:

Simplifying
cp = 0

Solving
cp = 0

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

Simplifying
cp = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(4 + p + 3c)' equal to zero and attempt to solve:

Simplifying
4 + p + 3c = 0

Reorder the terms:
4 + 3c + p = 0

Solving
4 + 3c + p = 0

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

Add '-4' to each side of the equation.
4 + 3c + -4 + p = 0 + -4

Reorder the terms:
4 + -4 + 3c + p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3c + p = 0 + -4
3c + p = 0 + -4

Combine like terms: 0 + -4 = -4
3c + p = -4

Add '-1p' to each side of the equation.
3c + p + -1p = -4 + -1p

Combine like terms: p + -1p = 0
3c + 0 = -4 + -1p
3c = -4 + -1p

Divide each side by '3'.
c = -1.333333333 + -0.3333333333p

Simplifying
c = -1.333333333 + -0.3333333333p
Solution
c = {-1.333333333 + -0.3333333333p}

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