(6c-11)(6c+7)=

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Solution for (6c-11)(6c+7)= equation: 


Simplifying
(6c + -11)(6c + 7) = 0

Reorder the terms:
(-11 + 6c)(6c + 7) = 0

Reorder the terms:
(-11 + 6c)(7 + 6c) = 0

Multiply (-11 + 6c) * (7 + 6c)
(-11(7 + 6c) + 6c * (7 + 6c)) = 0
((7 * -11 + 6c * -11) + 6c * (7 + 6c)) = 0
((-77 + -66c) + 6c * (7 + 6c)) = 0
(-77 + -66c + (7 * 6c + 6c * 6c)) = 0
(-77 + -66c + (42c + 36c2)) = 0

Combine like terms: -66c + 42c = -24c
(-77 + -24c + 36c2) = 0

Solving
-77 + -24c + 36c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-7 + -6c)(11 + -6c) = 0


Subproblem 1
Set the factor '(-7 + -6c)' equal to zero and attempt to solve:

Simplifying
-7 + -6c = 0

Solving
-7 + -6c = 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 + -6c = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -6c = 0 + 7
-6c = 0 + 7

Combine like terms: 0 + 7 = 7
-6c = 7

Divide each side by '-6'.
c = -1.166666667

Simplifying
c = -1.166666667

Subproblem 2
Set the factor '(11 + -6c)' equal to zero and attempt to solve:

Simplifying
11 + -6c = 0

Solving
11 + -6c = 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 + -6c = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -6c = 0 + -11
-6c = 0 + -11

Combine like terms: 0 + -11 = -11
-6c = -11

Divide each side by '-6'.
c = 1.833333333

Simplifying
c = 1.833333333
Solution
c = {-1.166666667, 1.833333333}

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