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.

-x - 6 > \( \frac{x}{-8} \)
-8 x (-x - 6) > x
(-8 x -x) + (-8 x -6) > x
8x + 48 > x
8x + 48 - x > 0
8x - x > -48
7x > -48
x > \( \frac{-48}{7} \)
x > -6\(\frac{6}{7}\)

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.

-3b - 4x = 7b + x - 4
-3b = 7b + x - 4 + 4x
-3b - 7b = x - 4 + 4x
-10b = 5x - 4
b = \( \frac{5x - 4}{-10} \)
b = \( \frac{5x}{-10} \) + \( \frac{-4}{-10} \)
b = -\(\frac{1}{2}\)x + \(\frac{2}{5}\)

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 + 9)(y + 4)
(y x y) + (y x 4) + (9 x y) + (9 x 4)
y² + 4y + 9y + 36
y² + 13y + 36

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

9a⁹ + 3a⁹ = 12a⁹

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.