Can someone give me a step by step solution to this radical equation please?? Im getting a migraine over it

X=7,-4

Step-by-step explanation:

-3=(37-3x)^(1/2)-x

Add x to each side

X-3=(37-3x)^(1/2)

Change radical to root

X-3=sqrt(37-3x)

Square each side

(X-3)^2=37-3x

Expand the left side: (x-3)*(x-3)=x^2-6x+9

X^2-6x+9=37-3x

Add 3x to each side

X^2-3x+9=37

Subtract 9 from each side

X^2-3x=28

Make it =0: subtract 28 from each side

X^2-3x-28=0

Convert to product form (a)*(b)=0 so that by making either a or b zero you solve the equation. What two numbers add to -3 and multiply to -28? -7 and 4. So we get (x-7)*(x+4).

(X-7)*(x+4)=0

Now we just make x-7=0 or x+4=0.

(7)-7=0 or (-4)+4=0

X=7 or X=-4.

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068