(5c^2+12c-8)+(c-2)+(14c^2-8c+6)=

Solution for (5c^2+12c-8)+(c-2)+(14c^2-8c+6)= equation:

Simplifying
(5c2 + 12c + -8) + (c + -2) + (14c2 + -8c + 6) = 0

Reorder the terms:
(-8 + 12c + 5c2) + (c + -2) + (14c2 + -8c + 6) = 0

Remove parenthesis around (-8 + 12c + 5c2)
-8 + 12c + 5c2 + (c + -2) + (14c2 + -8c + 6) = 0

Reorder the terms:
-8 + 12c + 5c2 + (-2 + c) + (14c2 + -8c + 6) = 0

Remove parenthesis around (-2 + c)
-8 + 12c + 5c2 + -2 + c + (14c2 + -8c + 6) = 0

Reorder the terms:
-8 + 12c + 5c2 + -2 + c + (6 + -8c + 14c2) = 0

Remove parenthesis around (6 + -8c + 14c2)
-8 + 12c + 5c2 + -2 + c + 6 + -8c + 14c2 = 0

Reorder the terms:
-8 + -2 + 6 + 12c + c + -8c + 5c2 + 14c2 = 0

Combine like terms: -8 + -2 = -10
-10 + 6 + 12c + c + -8c + 5c2 + 14c2 = 0

Combine like terms: -10 + 6 = -4
-4 + 12c + c + -8c + 5c2 + 14c2 = 0

Combine like terms: 12c + c = 13c
-4 + 13c + -8c + 5c2 + 14c2 = 0

Combine like terms: 13c + -8c = 5c
-4 + 5c + 5c2 + 14c2 = 0

Combine like terms: 5c2 + 14c2 = 19c2
-4 + 5c + 19c2 = 0

Solving
-4 + 5c + 19c2 = 0

Solving for variable 'c'.

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

Divide each side by '19'.
-0.2105263158 + 0.2631578947c + c2 = 0

Move the constant term to the right:

Add '0.2105263158' to each side of the equation.
-0.2105263158 + 0.2631578947c + 0.2105263158 + c2 = 0 + 0.2105263158

Reorder the terms:
-0.2105263158 + 0.2105263158 + 0.2631578947c + c2 = 0 + 0.2105263158

Combine like terms: -0.2105263158 + 0.2105263158 = 0.0000000000
0.0000000000 + 0.2631578947c + c2 = 0 + 0.2105263158
0.2631578947c + c2 = 0 + 0.2105263158

Combine like terms: 0 + 0.2105263158 = 0.2105263158
0.2631578947c + c2 = 0.2105263158

The c term is 0.2631578947c.  Take half its coefficient (0.1315789474).
Square it (0.01731301940) and add it to both sides.

Add '0.01731301940' to each side of the equation.
0.2631578947c + 0.01731301940 + c2 = 0.2105263158 + 0.01731301940

Reorder the terms:
0.01731301940 + 0.2631578947c + c2 = 0.2105263158 + 0.01731301940

Combine like terms: 0.2105263158 + 0.01731301940 = 0.2278393352
0.01731301940 + 0.2631578947c + c2 = 0.2278393352

Factor a perfect square on the left side:
(c + 0.1315789474)(c + 0.1315789474) = 0.2278393352

Calculate the square root of the right side: 0.477325188

Break this problem into two subproblems by setting 
(c + 0.1315789474) equal to 0.477325188 and -0.477325188.

Subproblem 1
c + 0.1315789474 = 0.477325188

Simplifying
c + 0.1315789474 = 0.477325188

Reorder the terms:
0.1315789474 + c = 0.477325188

Solving
0.1315789474 + c = 0.477325188

Solving for variable 'c'.

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

Add '-0.1315789474' to each side of the equation.
0.1315789474 + -0.1315789474 + c = 0.477325188 + -0.1315789474

Combine like terms: 0.1315789474 + -0.1315789474 = 0.0000000000
0.0000000000 + c = 0.477325188 + -0.1315789474
c = 0.477325188 + -0.1315789474

Combine like terms: 0.477325188 + -0.1315789474 = 0.3457462406
c = 0.3457462406

Simplifying
c = 0.3457462406

Subproblem 2
c + 0.1315789474 = -0.477325188

Simplifying
c + 0.1315789474 = -0.477325188

Reorder the terms:
0.1315789474 + c = -0.477325188

Solving
0.1315789474 + c = -0.477325188

Solving for variable 'c'.

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

Add '-0.1315789474' to each side of the equation.
0.1315789474 + -0.1315789474 + c = -0.477325188 + -0.1315789474

Combine like terms: 0.1315789474 + -0.1315789474 = 0.0000000000
0.0000000000 + c = -0.477325188 + -0.1315789474
c = -0.477325188 + -0.1315789474

Combine like terms: -0.477325188 + -0.1315789474 = -0.6089041354
c = -0.6089041354

Simplifying
c = -0.6089041354

Solution
The solution to the problem is based on the solutions
from the subproblems.
c = {0.3457462406, -0.6089041354}