(8c^2-4c+1)+(-3c^2+c+5)=

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Solution for (8c^2-4c+1)+(-3c^2+c+5)= equation:


Simplifying
(8c2 + -4c + 1) + (-3c2 + c + 5) = 0

Reorder the terms:
(1 + -4c + 8c2) + (-3c2 + c + 5) = 0

Remove parenthesis around (1 + -4c + 8c2)
1 + -4c + 8c2 + (-3c2 + c + 5) = 0

Reorder the terms:
1 + -4c + 8c2 + (5 + c + -3c2) = 0

Remove parenthesis around (5 + c + -3c2)
1 + -4c + 8c2 + 5 + c + -3c2 = 0

Reorder the terms:
1 + 5 + -4c + c + 8c2 + -3c2 = 0

Combine like terms: 1 + 5 = 6
6 + -4c + c + 8c2 + -3c2 = 0

Combine like terms: -4c + c = -3c
6 + -3c + 8c2 + -3c2 = 0

Combine like terms: 8c2 + -3c2 = 5c2
6 + -3c + 5c2 = 0

Solving
6 + -3c + 5c2 = 0

Solving for variable 'c'.

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

Divide each side by '5'.
1.2 + -0.6c + c2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -0.6c + -1.2 + c2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -0.6c + c2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -0.6c + c2 = 0 + -1.2
-0.6c + c2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-0.6c + c2 = -1.2

The c term is -0.6c.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6c + 0.09 + c2 = -1.2 + 0.09

Reorder the terms:
0.09 + -0.6c + c2 = -1.2 + 0.09

Combine like terms: -1.2 + 0.09 = -1.11
0.09 + -0.6c + c2 = -1.11

Factor a perfect square on the left side:
(c + -0.3)(c + -0.3) = -1.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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