x^2+3x-28=3*742

Solution for x^2+3x-28=3*742 equation:

x^2+3x-28=3*742

We move all terms to the left:

x^2+3x-28-(3*742)=0

We add all the numbers together, and all the variables

x^2+3x-28-2226=0

We add all the numbers together, and all the variables

x^2+3x-2254=0

a = 1; b = 3; c = -2254;
Δ = b2-4ac
Δ = 32-4·1·(-2254)
Δ = 9025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9025}=95$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-95}{2*1}=\frac{-98}{2}
=-49
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+95}{2*1}=\frac{92}{2}
=46
$