Procedure Template

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Solve this equation for x: x² + 11x + 28 = 0

Step 1: What is the first step in solving this equation?
Combine like terms.
Apply the subtraction property of equality to isolate the variable terms.
Factor the trinomial.

What is the factored form of the trinomial?
(x + 3)(x + 8)
(x + 4)(x + 7)
(x + 7)(x + 8)

Step 2: What is the next step to solve the equation?
Apply the subtraction property of equality to isolate the variable terms.
Apply the division property of equality to isolate the factors.
Apply the product property of zero by setting each factor equal to zero.

What are the two equations that result from applying the zero product property?
x + 4 = 0 and x + 7 = 0
x − 4 = 0 and x − 7 = 0

Step 3: What are the solutions to these two equations?
x = 4 and x = 7
x = −4 and x = −7

Here is some feedback. It can have up to 3 lines of text. Please check your calculations before answering.

x² + 11x + 28 = 0

(x + 4)(x + 7) = 0

x + 4 = 0

x + 7 = 0

x = −4

x = −7