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

z² + 11z + 24 = 0
(z + 3)(z + 8) = 0

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

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

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

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(9 + 5)(4)
a = ½(14)(4)
a = ½(56) = \( \frac{56}{2} \)
a = 28

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.

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.

(2a)(4ab) + (5a²)(5b)
(2 x 4)(a x a x b) + (5 x 5)(a² x b)
(8)(a¹⁺¹ x b) + (25)(a²b)
8a²b + 25a²b
33a²b

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.

6a - 7a = -1a