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To find the value of the square root part of the solution, you need to calculate the discriminant (the value inside the square root) which is b^2 - 4ac in the quadratic formula. In this case, a = 2, b = 7, and c = -15.
So, the discriminant = 7^2 - 4(2)(-15)
= 49 + 120
= 169
Now, you can plug this value back into your work:
x = (-7 ± √169) / 4
x = (-7 ± 13) / 4
Therefore, the two possible solutions for x are:
x = (-7 + 13) / 4 = 6/4 = 3/2
x = (-7 - 13) / 4 = -20/4 = -5