2c(8c+5)(8c-13)=0

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Solution for 2c(8c+5)(8c-13)=0 equation: 


Simplifying
2c(8c + 5)(8c + -13) = 0

Reorder the terms:
2c(5 + 8c)(8c + -13) = 0

Reorder the terms:
2c(5 + 8c)(-13 + 8c) = 0

Multiply (5 + 8c) * (-13 + 8c)
2c(5(-13 + 8c) + 8c * (-13 + 8c)) = 0
2c((-13 * 5 + 8c * 5) + 8c * (-13 + 8c)) = 0
2c((-65 + 40c) + 8c * (-13 + 8c)) = 0
2c(-65 + 40c + (-13 * 8c + 8c * 8c)) = 0
2c(-65 + 40c + (-104c + 64c2)) = 0

Combine like terms: 40c + -104c = -64c
2c(-65 + -64c + 64c2) = 0
(-65 * 2c + -64c * 2c + 64c2 * 2c) = 0
(-130c + -128c2 + 128c3) = 0

Solving
-130c + -128c2 + 128c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2c'.
2c(-65 + -64c + 64c2) = 0

Factor a trinomial.
2c((-5 + -8c)(13 + -8c)) = 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 '(-5 + -8c)' equal to zero and attempt to solve:

Simplifying
-5 + -8c = 0

Solving
-5 + -8c = 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 + -8c = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -8c = 0 + 5
-8c = 0 + 5

Combine like terms: 0 + 5 = 5
-8c = 5

Divide each side by '-8'.
c = -0.625

Simplifying
c = -0.625

Subproblem 3
Set the factor '(13 + -8c)' equal to zero and attempt to solve:

Simplifying
13 + -8c = 0

Solving
13 + -8c = 0

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

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

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

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

Divide each side by '-8'.
c = 1.625

Simplifying
c = 1.625
Solution
c = {0, -0.625, 1.625}

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