x+x*x*3=25

Solution for x+x*x*3=25 equation:

x+x*x*3=25

We move all terms to the left:

x+x*x*3-(25)=0

Wy multiply elements

3x^2*3+x-25=0

Wy multiply elements

9x^2+x-25=0

a = 9; b = 1; c = -25;
Δ = b2-4ac
Δ = 12-4·9·(-25)
Δ = 901
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{-(1)-\sqrt{901}}{2*9}=\frac{-1-\sqrt{901}}{18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{901}}{2*9}=\frac{-1+\sqrt{901}}{18}
$