The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

c² + 11c + 24 = 0
(c + 3)(c + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 3) or (c + 8) must equal zero:

If (c + 3) = 0, c must equal -3
If (c + 8) = 0, c must equal -8

So the solution is that c = -3 or -8

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).

To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.

-4c + 9x = 9c - x + 5
-4c = 9c - x + 5 - 9x
-4c - 9c = -x + 5 - 9x
-13c = -10x + 5
c = \( \frac{-10x + 5}{-13} \)
c = \( \frac{-10x}{-13} \) + \( \frac{5}{-13} \)
c = \(\frac{10}{13}\)x - \(\frac{5}{13}\)

The volume of a cylinder is πr²h:

v = πr²h
v = π(2² x 6)
v = 24π