X(x+9=357)

Solution for X(x+9=357) equation:

X(X+9=357)

We move all terms to the left:

X(X+9-(357))=0

We add all the numbers together, and all the variables

X(X-348)=0

We multiply parentheses

X^2-348X=0

a = 1; b = -348; c = 0;
Δ = b2-4ac
Δ = -3482-4·1·0
Δ = 121104
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121104}=348$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-348)-348}{2*1}=\frac{0}{2}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-348)+348}{2*1}=\frac{696}{2}
=348
$