(13c+8)(5c-15)=0

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Solution for (13c+8)(5c-15)=0 equation: 


Simplifying
(13c + 8)(5c + -15) = 0

Reorder the terms:
(8 + 13c)(5c + -15) = 0

Reorder the terms:
(8 + 13c)(-15 + 5c) = 0

Multiply (8 + 13c) * (-15 + 5c)
(8(-15 + 5c) + 13c * (-15 + 5c)) = 0
((-15 * 8 + 5c * 8) + 13c * (-15 + 5c)) = 0
((-120 + 40c) + 13c * (-15 + 5c)) = 0
(-120 + 40c + (-15 * 13c + 5c * 13c)) = 0
(-120 + 40c + (-195c + 65c2)) = 0

Combine like terms: 40c + -195c = -155c
(-120 + -155c + 65c2) = 0

Solving
-120 + -155c + 65c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-24 + -31c + 13c2) = 0

Factor a trinomial.
5((-8 + -13c)(3 + -1c)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-8 + -13c)' equal to zero and attempt to solve:

Simplifying
-8 + -13c = 0

Solving
-8 + -13c = 0

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

Add '8' to each side of the equation.
-8 + 8 + -13c = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -13c = 0 + 8
-13c = 0 + 8

Combine like terms: 0 + 8 = 8
-13c = 8

Divide each side by '-13'.
c = -0.6153846154

Simplifying
c = -0.6153846154

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 = {-0.6153846154, 3}

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