Question

What are the approximate solutions of 4x2 + 3 = −12x to the nearest hundredth?

Answer 1

First 
$4x^{2} + 12x + 3 = 0$
determine if this equation were factorable, it's not for this one
so I use quadratic formula, try to search the formula online

$x1 = \frac{-12 + \sqrt{(12)^{2} - 4*4*3} } {2*4} = \frac{-12 + 4\sqrt{6} }{8} = \frac{4(-3 + \sqrt{6}) }{8} = \frac{-3 + \sqrt{6}}{2} = - 0.28$
$x2 = \frac{-12 - \sqrt{(12)^{2} - 4*4*3} } {2*4} = \frac{-12 - 4\sqrt{6} }{8} = \frac{4(-3 - \sqrt{6}) }{8} = \frac{-3 - \sqrt{6}}{2} = - 2.72$

x ≈ −2.72 and x ≈ −0.28 is the solution