-2x2-29x-14=-5x

Solution for -2x2-29x-14=-5x equation:

-2x^2-29x-14=-5x

We move all terms to the left:

-2x^2-29x-14-(-5x)=0

We get rid of parentheses

-2x^2-29x+5x-14=0

We add all the numbers together, and all the variables

-2x^2-24x-14=0

a = -2; b = -24; c = -14;
Δ = b2-4ac
Δ = -242-4·(-2)·(-14)
Δ = 464
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{464}=\sqrt{16*29}=\sqrt{16}*\sqrt{29}=4\sqrt{29}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-4\sqrt{29}}{2*-2}=\frac{24-4\sqrt{29}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+4\sqrt{29}}{2*-2}=\frac{24+4\sqrt{29}}{-4}
$