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

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


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

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

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

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

Combine like terms: -25c + 32c = 7c
(-40 + 7c + 20c2) = 0

Solving
-40 + 7c + 20c2 = 0

Solving for variable 'c'.

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


Subproblem 1
Set the factor '(-8 + -5c)' equal to zero and attempt to solve:

Simplifying
-8 + -5c = 0

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

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

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

Divide each side by '-5'.
c = -1.6

Simplifying
c = -1.6

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 = {-1.6, 1.25}

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