(13c+7)(6c-18)=0

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Solution for (13c+7)(6c-18)=0 equation: 


Simplifying
(13c + 7)(6c + -18) = 0

Reorder the terms:
(7 + 13c)(6c + -18) = 0

Reorder the terms:
(7 + 13c)(-18 + 6c) = 0

Multiply (7 + 13c) * (-18 + 6c)
(7(-18 + 6c) + 13c * (-18 + 6c)) = 0
((-18 * 7 + 6c * 7) + 13c * (-18 + 6c)) = 0
((-126 + 42c) + 13c * (-18 + 6c)) = 0
(-126 + 42c + (-18 * 13c + 6c * 13c)) = 0
(-126 + 42c + (-234c + 78c2)) = 0

Combine like terms: 42c + -234c = -192c
(-126 + -192c + 78c2) = 0

Solving
-126 + -192c + 78c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-21 + -32c + 13c2) = 0

Factor a trinomial.
6((-7 + -13c)(3 + -1c)) = 0

Ignore the factor 6.

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 '(3 + -1c)' equal to zero and attempt to solve:

Simplifying
3 + -1c = 0

Solving
3 + -1c = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1c = 0 + -3
-1c = 0 + -3

Combine like terms: 0 + -3 = -3
-1c = -3

Divide each side by '-1'.
c = 3

Simplifying
c = 3
Solution
c = {-0.5384615385, 3}

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