Algebra-1

To solve the equation using the Quadratic Formula, we first need to rearrange it into standard form.

Step 1: Rearrange the Equation

Starting with:

 

Rearranging this gives:

 

Step 2: Identify the Coefficients

From the standard form , we have:

a = 5

b = -6

c = -7

 

Step 3: Calculate the Discriminant

Next, we calculate the discriminant (D):

D = 36 + 140 = 176

 

Step 4: Apply the Quadratic Formula

Now we can use the Quadratic Formula:

 

Substituting in the values we found:

 

Step 5: Simplify

Calculating