4c^2-9c+11=7c+4

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Solution for 4c^2-9c+11=7c+4 equation: 


Simplifying
4c2 + -9c + 11 = 7c + 4

Reorder the terms:
11 + -9c + 4c2 = 7c + 4

Reorder the terms:
11 + -9c + 4c2 = 4 + 7c

Solving
11 + -9c + 4c2 = 4 + 7c

Solving for variable 'c'.

Reorder the terms:
11 + -4 + -9c + -7c + 4c2 = 4 + 7c + -4 + -7c

Combine like terms: 11 + -4 = 7
7 + -9c + -7c + 4c2 = 4 + 7c + -4 + -7c

Combine like terms: -9c + -7c = -16c
7 + -16c + 4c2 = 4 + 7c + -4 + -7c

Reorder the terms:
7 + -16c + 4c2 = 4 + -4 + 7c + -7c

Combine like terms: 4 + -4 = 0
7 + -16c + 4c2 = 0 + 7c + -7c
7 + -16c + 4c2 = 7c + -7c

Combine like terms: 7c + -7c = 0
7 + -16c + 4c2 = 0

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


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

Simplifying
1 + -2c = 0

Solving
1 + -2c = 0

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

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

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

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

Divide each side by '-2'.
c = 0.5

Simplifying
c = 0.5

Subproblem 2
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
Solution
c = {0.5, 3.5}

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