4C^2-35C+49=0

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Solution for 4C^2-35C+49=0 equation: 


Simplifying
4C2 + -35C + 49 = 0

Reorder the terms:
49 + -35C + 4C2 = 0

Solving
49 + -35C + 4C2 = 0

Solving for variable 'C'.

Factor a trinomial.
(7 + -4C)(7 + -1C) = 0


Subproblem 1
Set the factor '(7 + -4C)' equal to zero and attempt to solve:

Simplifying
7 + -4C = 0

Solving
7 + -4C = 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 + -4C = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4C = 0 + -7
-4C = 0 + -7

Combine like terms: 0 + -7 = -7
-4C = -7

Divide each side by '-4'.
C = 1.75

Simplifying
C = 1.75

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 = {1.75, 7}

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