(-10c^2+4c+6)-(6c^2+6c-2)=

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

Simplifying
(-10c2 + 4c + 6) + -1(6c2 + 6c + -2) = 0

Reorder the terms:
(6 + 4c + -10c2) + -1(6c2 + 6c + -2) = 0

Remove parenthesis around (6 + 4c + -10c2)
6 + 4c + -10c2 + -1(6c2 + 6c + -2) = 0

Reorder the terms:
6 + 4c + -10c2 + -1(-2 + 6c + 6c2) = 0
6 + 4c + -10c2 + (-2 * -1 + 6c * -1 + 6c2 * -1) = 0
6 + 4c + -10c2 + (2 + -6c + -6c2) = 0

Reorder the terms:
6 + 2 + 4c + -6c + -10c2 + -6c2 = 0

Combine like terms: 6 + 2 = 8
8 + 4c + -6c + -10c2 + -6c2 = 0

Combine like terms: 4c + -6c = -2c
8 + -2c + -10c2 + -6c2 = 0

Combine like terms: -10c2 + -6c2 = -16c2
8 + -2c + -16c2 = 0

Solving
8 + -2c + -16c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -1c + -8c2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + -1c + -8c2)' equal to zero and attempt to solve:

Simplifying
4 + -1c + -8c2 = 0

Solving
4 + -1c + -8c2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
-0.5 + 0.125c + c2 = 0

Move the constant term to the right:

Add '0.5' to each side of the equation.
-0.5 + 0.125c + 0.5 + c2 = 0 + 0.5

Reorder the terms:
-0.5 + 0.5 + 0.125c + c2 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.125c + c2 = 0 + 0.5
0.125c + c2 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
0.125c + c2 = 0.5

The c term is 0.125c.  Take half its coefficient (0.0625).
Square it (0.00390625) and add it to both sides.

Add '0.00390625' to each side of the equation.
0.125c + 0.00390625 + c2 = 0.5 + 0.00390625

Reorder the terms:
0.00390625 + 0.125c + c2 = 0.5 + 0.00390625

Combine like terms: 0.5 + 0.00390625 = 0.50390625
0.00390625 + 0.125c + c2 = 0.50390625

Factor a perfect square on the left side:
(c + 0.0625)(c + 0.0625) = 0.50390625

Calculate the square root of the right side: 0.709863543

Break this problem into two subproblems by setting 
(c + 0.0625) equal to 0.709863543 and -0.709863543.

Subproblem 1
c + 0.0625 = 0.709863543

Simplifying
c + 0.0625 = 0.709863543

Reorder the terms:
0.0625 + c = 0.709863543

Solving
0.0625 + c = 0.709863543

Solving for variable 'c'.

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

Add '-0.0625' to each side of the equation.
0.0625 + -0.0625 + c = 0.709863543 + -0.0625

Combine like terms: 0.0625 + -0.0625 = 0.0000
0.0000 + c = 0.709863543 + -0.0625
c = 0.709863543 + -0.0625

Combine like terms: 0.709863543 + -0.0625 = 0.647363543
c = 0.647363543

Simplifying
c = 0.647363543

Subproblem 2
c + 0.0625 = -0.709863543

Simplifying
c + 0.0625 = -0.709863543

Reorder the terms:
0.0625 + c = -0.709863543

Solving
0.0625 + c = -0.709863543

Solving for variable 'c'.

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

Add '-0.0625' to each side of the equation.
0.0625 + -0.0625 + c = -0.709863543 + -0.0625

Combine like terms: 0.0625 + -0.0625 = 0.0000
0.0000 + c = -0.709863543 + -0.0625
c = -0.709863543 + -0.0625

Combine like terms: -0.709863543 + -0.0625 = -0.772363543
c = -0.772363543

Simplifying
c = -0.772363543

Solution
The solution to the problem is based on the solutions
from the subproblems.
c = {0.647363543, -0.772363543}
Solution
c = {0.647363543, -0.772363543}