(4c-5)(8c+5)=

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Solution for (4c-5)(8c+5)= equation: 


Simplifying
(4c + -5)(8c + 5) = 0

Reorder the terms:
(-5 + 4c)(8c + 5) = 0

Reorder the terms:
(-5 + 4c)(5 + 8c) = 0

Multiply (-5 + 4c) * (5 + 8c)
(-5(5 + 8c) + 4c * (5 + 8c)) = 0
((5 * -5 + 8c * -5) + 4c * (5 + 8c)) = 0
((-25 + -40c) + 4c * (5 + 8c)) = 0
(-25 + -40c + (5 * 4c + 8c * 4c)) = 0
(-25 + -40c + (20c + 32c2)) = 0

Combine like terms: -40c + 20c = -20c
(-25 + -20c + 32c2) = 0

Solving
-25 + -20c + 32c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-5 + -8c)(5 + -4c) = 0


Subproblem 1
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 2
Set the factor '(5 + -4c)' equal to zero and attempt to solve:

Simplifying
5 + -4c = 0

Solving
5 + -4c = 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 + -4c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4c = 0 + -5
-4c = 0 + -5

Combine like terms: 0 + -5 = -5
-4c = -5

Divide each side by '-4'.
c = 1.25

Simplifying
c = 1.25
Solution
c = {-0.625, 1.25}

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