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

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(6a)(8ab) + (4a²)(4b)
(6 x 8)(a x a x b) + (4 x 4)(a² x b)
(48)(a¹⁺¹ x b) + (16)(a²b)
48a²b + 16a²b
64a²b

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c²) is equal to the sum of the two perpendicular sides squared (a² + b²): c² = a² + b² or, solved for c, \(c = \sqrt{a + b}\)

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).