(2c+9)x(c+5)=

Solution for (2c+9)x(c+5)= equation:

Simplifying
(2c + 9) * x(c + 5) = 0

Reorder the terms:
(9 + 2c) * x(c + 5) = 0

Reorder the terms:
(9 + 2c) * x(5 + c) = 0

Reorder the terms for easier multiplication:
x(9 + 2c)(5 + c) = 0

Multiply (9 + 2c) * (5 + c)
x(9(5 + c) + 2c * (5 + c)) = 0
x((5 * 9 + c * 9) + 2c * (5 + c)) = 0
x((45 + 9c) + 2c * (5 + c)) = 0
x(45 + 9c + (5 * 2c + c * 2c)) = 0
x(45 + 9c + (10c + 2c2)) = 0

Combine like terms: 9c + 10c = 19c
x(45 + 19c + 2c2) = 0
(45 * x + 19c * x + 2c2 * x) = 0

Reorder the terms:
(19cx + 2c2x + 45x) = 0
(19cx + 2c2x + 45x) = 0

Solving
19cx + 2c2x + 45x = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(19c + 2c2 + 45) = 0

Factor a trinomial.
x((2c + 9)(c + 5)) = 0

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

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(2c + 9)' equal to zero and attempt to solve:

Simplifying
2c + 9 = 0

Reorder the terms:
9 + 2c = 0

Solving
9 + 2c = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2c = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2c = 0 + -9
2c = 0 + -9

Combine like terms: 0 + -9 = -9
2c = -9

Divide each side by '2'.
c = -4.5

Simplifying
c = -4.5
Subproblem 3
Set the factor '(c + 5)' equal to zero and attempt to solve:

Simplifying
c + 5 = 0

Reorder the terms:
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 = {-4.5, -5}