(13c+7)(6c-7)=0

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Solution for (13c+7)(6c-7)=0 equation: 


Simplifying
(13c + 7)(6c + -7) = 0

Reorder the terms:
(7 + 13c)(6c + -7) = 0

Reorder the terms:
(7 + 13c)(-7 + 6c) = 0

Multiply (7 + 13c) * (-7 + 6c)
(7(-7 + 6c) + 13c * (-7 + 6c)) = 0
((-7 * 7 + 6c * 7) + 13c * (-7 + 6c)) = 0
((-49 + 42c) + 13c * (-7 + 6c)) = 0
(-49 + 42c + (-7 * 13c + 6c * 13c)) = 0
(-49 + 42c + (-91c + 78c2)) = 0

Combine like terms: 42c + -91c = -49c
(-49 + -49c + 78c2) = 0

Solving
-49 + -49c + 78c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-7 + -13c)(7 + -6c) = 0


Subproblem 1
Set the factor '(-7 + -13c)' equal to zero and attempt to solve:

Simplifying
-7 + -13c = 0

Solving
-7 + -13c = 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 + -13c = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -13c = 0 + 7
-13c = 0 + 7

Combine like terms: 0 + 7 = 7
-13c = 7

Divide each side by '-13'.
c = -0.5384615385

Simplifying
c = -0.5384615385

Subproblem 2
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
Solution
c = {-0.5384615385, 1.166666667}

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