### Home > INT3 > Chapter 2 > Lesson 2.2.4 > Problem2-105

2-105.

Solve the following quadratic equations. Homework Help ✎

1. $-5x^2-2x-6=-2$

Multiply both sides of the equation by $−1$.

$5x^2+2x+6=2$

Subtract 2 from both sides of the equation.

$5x^2+2x+4=0$

$a=5\ \ \ \ \ \ \ \ b=2\ \ \ \ \ \ \ \ c=4$
$x = \frac{-(2)\pm\sqrt{(2)^{2}-4(5)(4)}}{2(5)}$
$x= \frac{-2\pm \sqrt{-76}}{10} = \frac{-2\pm 2\sqrt{19}i}{10} = \frac{-1}{5}\pm \frac{\sqrt{19}}{5}i$
1. $-2x^2=-x-9$