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

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


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

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

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

Multiply (-5 + 2c) * (8 + 5c)
(-5(8 + 5c) + 2c * (8 + 5c)) = 0
((8 * -5 + 5c * -5) + 2c * (8 + 5c)) = 0
((-40 + -25c) + 2c * (8 + 5c)) = 0
(-40 + -25c + (8 * 2c + 5c * 2c)) = 0
(-40 + -25c + (16c + 10c2)) = 0

Combine like terms: -25c + 16c = -9c
(-40 + -9c + 10c2) = 0

Solving
-40 + -9c + 10c2 = 0

Solving for variable 'c'.

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

Simplifying
5 + -2c = 0

Solving
5 + -2c = 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 + -2c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2c = 0 + -5
-2c = 0 + -5

Combine like terms: 0 + -5 = -5
-2c = -5

Divide each side by '-2'.
c = 2.5

Simplifying
c = 2.5
Solution
c = {-1.6, 2.5}

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