X+4x(x+13)=94

Solution for X+4x(x+13)=94 equation:

X+4X(X+13)=94

We move all terms to the left:

X+4X(X+13)-(94)=0

We multiply parentheses

4X^2+X+52X-94=0

We add all the numbers together, and all the variables

4X^2+53X-94=0

a = 4; b = 53; c = -94;
Δ = b2-4ac
Δ = 532-4·4·(-94)
Δ = 4313
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{-(53)-\sqrt{4313}}{2*4}=\frac{-53-\sqrt{4313}}{8}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(53)+\sqrt{4313}}{2*4}=\frac{-53+\sqrt{4313}}{8}
$