Procedure Template

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Solve this equation for x: $&2x^2 + 12x - 7 = 0$&

Step 1: What is the first step to solve this equation?
Combine like terms.
Factor the trinomial.
Isolate the constant term by adding 7 to both sides of the equation.

Step 2: What is the next step to solve the equation?
Subtract 2x from the binomial.
Factor 2x from the binomial.
Factor 2 from the binomial.

Step 3: What number must be added inside the parentheses of the binomial to create a perfect square trinomial?
6
9
18

What number must be added to the right side of the equation?
6
9
18

Step 4: What is the next step to solve the equation?
Write the trinomial as the square of a binomial.
Isolate the variable terms by subtracting 9 from both sides of the equation.
Take the square root of both sides of the equation.

Step 5: What is the next step to solve the equation?
Isolate the variable terms by subtracting 9 from both sides of the equation.
Divide both sides of the equation by 2.

Step 6: What is the step to simplify the left side of the equation?
Apply the square root property of equality.
Divide both sides of the equation by (x + 3).

Step 7: What is the final step to isolate the variable?
Subtract 3 from both sides of the equation.
Subtract x from both sides of the equation.

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

$$2x^2 + 12x - 7 = 0$$

$$2x^2 + 12x = 7$$

$$2(x^2 + 6x) = 7$$

$$2(x^2 + 6x + 9) = 7 + 18$$

$$2(x + 3)^2 = 25$$

$$(x + 3)^2 = 12.5$$

$$(x + 3) = \pm\sqrt {12.5}$$

$$x = -3 \pm\sqrt {12.5}$$