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

-a - 5z = -4a - 8z - 2
-a = -4a - 8z - 2 + 5z
-a + 4a = -8z - 2 + 5z
3a = -3z - 2
a = \( \frac{-3z - 2}{3} \)
a = \( \frac{-3z}{3} \) + \( \frac{-2}{3} \)
a = -z - \(\frac{2}{3}\)

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

c² - c - 2 = 0
(c + 1)(c - 2) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 1) or (c - 2) must equal zero:

If (c + 1) = 0, c must equal -1
If (c - 2) = 0, c must equal 2

So the solution is that c = -1 or 2

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 < sign and the answer on the other.

-2z + 4 < \( \frac{z}{-9} \)
-9 x (-2z + 4) < z
(-9 x -2z) + (-9 x 4) < z
18z - 36 < z
18z - 36 - z < 0
18z - z < 36
17z < 36
z < \( \frac{36}{17} \)
z < 2\(\frac{2}{17}\)

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.

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).