X(x+24)=350-10

Solution for X(x+24)=350-10 equation:

X(X+24)=350-10

We move all terms to the left:

X(X+24)-(350-10)=0

We add all the numbers together, and all the variables

X(X+24)-340=0

We multiply parentheses

X^2+24X-340=0

a = 1; b = 24; c = -340;
Δ = b2-4ac
Δ = 242-4·1·(-340)
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-44}{2*1}=\frac{-68}{2}
=-34
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+44}{2*1}=\frac{20}{2}
=10
$