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

z² - 10z + 16 = 0
(z - 2)(z - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 2) or (z - 8) must equal zero:

If (z - 2) = 0, z must equal 2
If (z - 8) = 0, z must equal 8

So the solution is that z = 2 or 8

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

sa = 2πr² + 2πrh
sa = 2π(2²) + 2π(2 x 7)
sa = 2π(4) + 2π(14)
sa = (2 x 4)π + (2 x 14)π
sa = 8π + 28π
sa = 36π

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

-8b - 3z = -6b - 3z + 6
-8b = -6b - 3z + 6 + 3z
-8b + 6b = -3z + 6 + 3z
-2b = + 6
b = \( \frac{ + 6}{-2} \)
b = \( \frac{}{-2} \) + \( \frac{6}{-2} \)
b = z - 3

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 8 x 8 = \( \frac{64}{2} \) = 32

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-9a - 3 = \( \frac{a}{8} \)
8 x (-9a - 3) = a
(8 x -9a) + (8 x -3) = a
-72a - 24 = a
-72a - 24 - a = 0
-72a - a = 24
-73a = 24
a = \( \frac{24}{-73} \)
a = -\(\frac{24}{73}\)