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

a² + 11a + 24 = 0
(a + 3)(a + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 3) or (a + 8) must equal zero:

If (a + 3) = 0, a must equal -3
If (a + 8) = 0, a must equal -8

So the solution is that a = -3 or -8

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(5a)(4ab) - (6a²)(8b)
(5 x 4)(a x a x b) - (6 x 8)(a² x b)
(20)(a¹⁺¹ x b) - (48)(a²b)
20a²b - 48a²b
-28a²b

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.

For parallel lines with a transversal, the following relationships apply:

• angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
• alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
• all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
• same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with b° = 158, the value of z° is 22.

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.