2c^2-7c-14c+49=0

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Solution for 2c^2-7c-14c+49=0 equation: 


Simplifying
2c2 + -7c + -14c + 49 = 0

Reorder the terms:
49 + -7c + -14c + 2c2 = 0

Combine like terms: -7c + -14c = -21c
49 + -21c + 2c2 = 0

Solving
49 + -21c + 2c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(7 + -2c)(7 + -1c) = 0


Subproblem 1
Set the factor '(7 + -2c)' equal to zero and attempt to solve:

Simplifying
7 + -2c = 0

Solving
7 + -2c = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2c = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2c = 0 + -7
-2c = 0 + -7

Combine like terms: 0 + -7 = -7
-2c = -7

Divide each side by '-2'.
c = 3.5

Simplifying
c = 3.5

Subproblem 2
Set the factor '(7 + -1c)' equal to zero and attempt to solve:

Simplifying
7 + -1c = 0

Solving
7 + -1c = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1c = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1c = 0 + -7
-1c = 0 + -7

Combine like terms: 0 + -7 = -7
-1c = -7

Divide each side by '-1'.
c = 7

Simplifying
c = 7
Solution
c = {3.5, 7}

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