(-2x^2)-10x+12=0

Solution for (-2x^2)-10x+12=0 equation:

(-2x^2)-10x+12=0

We get rid of parentheses

-2x^2-10x+12=0

a = -2; b = -10; c = +12;
Δ = b2-4ac
Δ = -102-4·(-2)·12
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-14}{2*-2}=\frac{-4}{-4}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+14}{2*-2}=\frac{24}{-4}
=-6
$