The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

a² + 19a + 67 = 3a + 3
a² + 19a + 67 - 3 = 3a
a² + 19a - 3a + 64 = 0
a² + 16a + 64 = 0

Next, factor the quadratic equation:

a² + 16a + 64 = 0
(a + 8)(a + 8) = 0

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

If (a + 8) = 0, a must equal -8

So the solution is that a = -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).

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.

The volume of a cylinder is πr²h:

v = πr²h
v = π(8² x 7)
v = 448π