-49x^2+19x=-5

Solution for -49x^2+19x=-5 equation:

-49x^2+19x=-5

We move all terms to the left:

-49x^2+19x-(-5)=0

We add all the numbers together, and all the variables

-49x^2+19x+5=0

a = -49; b = 19; c = +5;
Δ = b2-4ac
Δ = 192-4·(-49)·5
Δ = 1341
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:

$\sqrt{\Delta}=\sqrt{1341}=\sqrt{9*149}=\sqrt{9}*\sqrt{149}=3\sqrt{149}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(19)-3\sqrt{149}}{2*-49}=\frac{-19-3\sqrt{149}}{-98}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19)+3\sqrt{149}}{2*-49}=\frac{-19+3\sqrt{149}}{-98}
$