23x2=18x-2x2

Solution for 23x2=18x-2x2 equation:

23x^2=18x-2x^2

We move all terms to the left:

23x^2-(18x-2x^2)=0

We get rid of parentheses

23x^2+2x^2-18x=0

We add all the numbers together, and all the variables

25x^2-18x=0

a = 25; b = -18; c = 0;
Δ = b2-4ac
Δ = -182-4·25·0
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-18}{2*25}=\frac{0}{50}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+18}{2*25}=\frac{36}{50}
=18/25
$