(x*3)+5=x*x

Solution for (x*3)+5=x*x equation:

(x*3)+5=x*x

We move all terms to the left:

(x*3)+5-(x*x)=0

We add all the numbers together, and all the variables

(+x*3)-(+x*x)+5=0

We get rid of parentheses

x*3-x*x+5=0

Wy multiply elements

-1x^2+3x+5=0

a = -1; b = 3; c = +5;
Δ = b2-4ac
Δ = 32-4·(-1)·5
Δ = 29
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{-(3)-\sqrt{29}}{2*-1}=\frac{-3-\sqrt{29}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{29}}{2*-1}=\frac{-3+\sqrt{29}}{-2}
$