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.

8x + 9 < \( \frac{x}{-6} \)
-6 x (8x + 9) < x
(-6 x 8x) + (-6 x 9) < x
-48x - 54 < x
-48x - 54 - x < 0
-48x - x < 54
-49x < 54
x < \( \frac{54}{-49} \)
x < -1\(\frac{5}{49}\)

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

z² - 7z - 18 = 0
(z + 2)(z - 9) = 0

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

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

So the solution is that z = -2 or 9

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.

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).