Answer:
x = 1 / 3
x = -1.5
Step-by-step explanation:
First move everything onto one side.
6x^2 + 7x - 3 = 0
Divide by 6:
x^2 + 7/6x - 0.5 = 0
Now, you can move the 0.5 to the other side because it is determined that this is not factorable.
x^2 + 7/6x = 0.5
Now you have to complete the square.
Take 1 / 2 of 7 / 6 and square it.
49 / 144
x^2 + 7/6x + 49/144 = 0.5 + 49/144
(x + 7 / 12)^2 = 121 / 144
Square root:
x + 7 / 12 = ±11 / 12
x = 1 / 3, x = -1.5
