(8c+3)(5c-15)=0

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Solution for (8c+3)(5c-15)=0 equation: 


Simplifying
(8c + 3)(5c + -15) = 0

Reorder the terms:
(3 + 8c)(5c + -15) = 0

Reorder the terms:
(3 + 8c)(-15 + 5c) = 0

Multiply (3 + 8c) * (-15 + 5c)
(3(-15 + 5c) + 8c * (-15 + 5c)) = 0
((-15 * 3 + 5c * 3) + 8c * (-15 + 5c)) = 0
((-45 + 15c) + 8c * (-15 + 5c)) = 0
(-45 + 15c + (-15 * 8c + 5c * 8c)) = 0
(-45 + 15c + (-120c + 40c2)) = 0

Combine like terms: 15c + -120c = -105c
(-45 + -105c + 40c2) = 0

Solving
-45 + -105c + 40c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-9 + -21c + 8c2) = 0

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

Ignore the factor 5.

Subproblem 1
Set the factor '(-3 + -8c)' equal to zero and attempt to solve:

Simplifying
-3 + -8c = 0

Solving
-3 + -8c = 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 + -8c = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -8c = 0 + 3
-8c = 0 + 3

Combine like terms: 0 + 3 = 3
-8c = 3

Divide each side by '-8'.
c = -0.375

Simplifying
c = -0.375

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 = {-0.375, 3}

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