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:

b² + 3b + 8 = -5b + 1
b² + 3b + 8 - 1 = -5b
b² + 3b + 5b + 7 = 0
b² + 8b + 7 = 0

Next, factor the quadratic equation:

b² + 8b + 7 = 0
(b + 1)(b + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 1) or (b + 7) must equal zero:

If (b + 1) = 0, b must equal -1
If (b + 7) = 0, b must equal -7

So the solution is that b = -1 or -7

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 factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.

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

sa = 2πr² + 2πrh
sa = 2π(2²) + 2π(2 x 6)
sa = 2π(4) + 2π(12)
sa = (2 x 4)π + (2 x 12)π
sa = 8π + 24π
sa = 32π

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.