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:

x² + 6x + 22 = -5x + 4
x² + 6x + 22 - 4 = -5x
x² + 6x + 5x + 18 = 0
x² + 11x + 18 = 0

Next, factor the quadratic equation:

x² + 11x + 18 = 0
(x + 2)(x + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 2) or (x + 9) must equal zero:

If (x + 2) = 0, x must equal -2
If (x + 9) = 0, x must equal -9

So the solution is that x = -2 or -9

The surface area of a cylinder is 2πr² + 2πrh:

sa = 2πr² + 2πrh
sa = 2π(7²) + 2π(7 x 8)
sa = 2π(49) + 2π(56)
sa = (2 x 49)π + (2 x 56)π
sa = 98π + 112π
sa = 210π

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.

For parallel lines with a transversal, the following relationships apply:

• angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
• alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
• 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°)

Applying these relationships starting with w° = 10, the value of a° is 10.

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².