-2c(8c-7)(c+5)=0

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Solution for -2c(8c-7)(c+5)=0 equation: 


Simplifying
-2c(8c + -7)(c + 5) = 0

Reorder the terms:
-2c(-7 + 8c)(c + 5) = 0

Reorder the terms:
-2c(-7 + 8c)(5 + c) = 0

Multiply (-7 + 8c) * (5 + c)
-2c(-7(5 + c) + 8c * (5 + c)) = 0
-2c((5 * -7 + c * -7) + 8c * (5 + c)) = 0
-2c((-35 + -7c) + 8c * (5 + c)) = 0
-2c(-35 + -7c + (5 * 8c + c * 8c)) = 0
-2c(-35 + -7c + (40c + 8c2)) = 0

Combine like terms: -7c + 40c = 33c
-2c(-35 + 33c + 8c2) = 0
(-35 * -2c + 33c * -2c + 8c2 * -2c) = 0
(70c + -66c2 + -16c3) = 0

Solving
70c + -66c2 + -16c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2c'.
2c(35 + -33c + -8c2) = 0

Factor a trinomial.
2c((7 + -8c)(5 + c)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'c' equal to zero and attempt to solve:

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0

Subproblem 2
Set the factor '(7 + -8c)' equal to zero and attempt to solve:

Simplifying
7 + -8c = 0

Solving
7 + -8c = 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 + -8c = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8c = 0 + -7
-8c = 0 + -7

Combine like terms: 0 + -7 = -7
-8c = -7

Divide each side by '-8'.
c = 0.875

Simplifying
c = 0.875

Subproblem 3
Set the factor '(5 + c)' equal to zero and attempt to solve:

Simplifying
5 + c = 0

Solving
5 + c = 0

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

Add '-5' to each side of the equation.
5 + -5 + c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + c = 0 + -5
c = 0 + -5

Combine like terms: 0 + -5 = -5
c = -5

Simplifying
c = -5
Solution
c = {0, 0.875, -5}

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