3c^2-13c+8=2c^2-14

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Solution for 3c^2-13c+8=2c^2-14 equation: 


Simplifying
3c2 + -13c + 8 = 2c2 + -14

Reorder the terms:
8 + -13c + 3c2 = 2c2 + -14

Reorder the terms:
8 + -13c + 3c2 = -14 + 2c2

Solving
8 + -13c + 3c2 = -14 + 2c2

Solving for variable 'c'.

Reorder the terms:
8 + 14 + -13c + 3c2 + -2c2 = -14 + 2c2 + 14 + -2c2

Combine like terms: 8 + 14 = 22
22 + -13c + 3c2 + -2c2 = -14 + 2c2 + 14 + -2c2

Combine like terms: 3c2 + -2c2 = 1c2
22 + -13c + 1c2 = -14 + 2c2 + 14 + -2c2

Reorder the terms:
22 + -13c + 1c2 = -14 + 14 + 2c2 + -2c2

Combine like terms: -14 + 14 = 0
22 + -13c + 1c2 = 0 + 2c2 + -2c2
22 + -13c + 1c2 = 2c2 + -2c2

Combine like terms: 2c2 + -2c2 = 0
22 + -13c + 1c2 = 0

Factor a trinomial.
(2 + -1c)(11 + -1c) = 0


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

Simplifying
2 + -1c = 0

Solving
2 + -1c = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1c = 0 + -2
-1c = 0 + -2

Combine like terms: 0 + -2 = -2
-1c = -2

Divide each side by '-1'.
c = 2

Simplifying
c = 2

Subproblem 2
Set the factor '(11 + -1c)' equal to zero and attempt to solve:

Simplifying
11 + -1c = 0

Solving
11 + -1c = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1c = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1c = 0 + -11
-1c = 0 + -11

Combine like terms: 0 + -11 = -11
-1c = -11

Divide each side by '-1'.
c = 11

Simplifying
c = 11
Solution
c = {2, 11}

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