(4c-2)(11c-4)=0

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Solution for (4c-2)(11c-4)=0 equation: 


Simplifying
(4c + -2)(11c + -4) = 0

Reorder the terms:
(-2 + 4c)(11c + -4) = 0

Reorder the terms:
(-2 + 4c)(-4 + 11c) = 0

Multiply (-2 + 4c) * (-4 + 11c)
(-2(-4 + 11c) + 4c * (-4 + 11c)) = 0
((-4 * -2 + 11c * -2) + 4c * (-4 + 11c)) = 0
((8 + -22c) + 4c * (-4 + 11c)) = 0
(8 + -22c + (-4 * 4c + 11c * 4c)) = 0
(8 + -22c + (-16c + 44c2)) = 0

Combine like terms: -22c + -16c = -38c
(8 + -38c + 44c2) = 0

Solving
8 + -38c + 44c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -19c + 22c2) = 0

Factor a trinomial.
2((4 + -11c)(1 + -2c)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + -11c)' equal to zero and attempt to solve:

Simplifying
4 + -11c = 0

Solving
4 + -11c = 0

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

Add '-4' to each side of the equation.
4 + -4 + -11c = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -11c = 0 + -4
-11c = 0 + -4

Combine like terms: 0 + -4 = -4
-11c = -4

Divide each side by '-11'.
c = 0.3636363636

Simplifying
c = 0.3636363636

Subproblem 2
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
Solution
c = {0.3636363636, 0.5}

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