9514 1404 393
Answer:
x ≈ {-1.8, 0.5}
Explanation:
I find a graphing calculator to be about the easiest way to solve these. It is convenient to put the equation into the form f(x) = 0. Here we can do that by subtracting 3x^2 from both sides.
9x^2 +8x -5 = 3x^2 . . . . . given
6x^2 +8x -5 = 0 . . . . . . . . subtract 3x^2
The solutions to this are the x-intercepts of the graph:
x = -1.8 or +0.5