Answer:
x = (1/2)
x = -3
Explanation:
Quadratic:
2x² + 5x = 3
-3 -3
----------------------
2x² + 5x - 3 = 0
-b ± √b² - 4(a)(c)
-------------------
2(a)
-5 ± √5² - 4(2)(-3)
---------------------------
2(2)
-5 ± √25 + 24
---------------------------
4
-5 ± √49
----------------
4
-5 ± 7
----------
4
-5 + 7 2 1
---------- = ------- = ------
4 4 2
-5 - 7 -12
---------- = --------- = -3
4 4
----------------------------------------------------------------------------------------------------------
Factored (for fun):
(2x² + 6x) (-1x - 3) = 0
2x(x + 3) -1 (x + 3)
(2x - 1)(x + 3) = 0
2x - 1 = 0, x + 3 = 0
+1 +1 -3 -3
--------------- ------------------
2x = 1 x = -3
÷2 ÷2
-------------
x = (1/2)
I hope this helps!