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:

c² - 17c + 38 = -4c - 2
c² - 17c + 38 + 2 = -4c
c² - 17c + 4c + 40 = 0
c² - 13c + 40 = 0

Next, factor the quadratic equation:

c² - 13c + 40 = 0
(c - 5)(c - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 5) or (c - 8) must equal zero:

If (c - 5) = 0, c must equal 5
If (c - 8) = 0, c must equal 8

So the solution is that c = 5 or 8

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 4)(y - 3)
(y x y) + (y x -3) + (-4 x y) + (-4 x -3)
y² - 3y - 4y + 12
y² - 7y + 12

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

sa = 2πr² + 2πrh
sa = 2π(1²) + 2π(1 x 3)
sa = 2π(1) + 2π(3)
sa = (2 x 1)π + (2 x 3)π
sa = 2π + 6π
sa = 8π

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -7 as well and sum (Inside, Outside) to equal 6. For this problem, those two numbers are -1 and 7. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + 6y - 7
y² + (-1 + 7)y + (-1 x 7)
(y - 1)(y + 7)

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.