154=x^2-7x-5

Solution for 154=x^2-7x-5 equation:

154=x^2-7x-5

We move all terms to the left:

154-(x^2-7x-5)=0

We get rid of parentheses

-x^2+7x+5+154=0

We add all the numbers together, and all the variables

-1x^2+7x+159=0

a = -1; b = 7; c = +159;
Δ = b2-4ac
Δ = 72-4·(-1)·159
Δ = 685
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{685}}{2*-1}=\frac{-7-\sqrt{685}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{685}}{2*-1}=\frac{-7+\sqrt{685}}{-2}
$