18.3x^2=2-5x

Solution for 18.3x^2=2-5x equation:

18.3x^2=2-5x

We move all terms to the left:

18.3x^2-(2-5x)=0

We add all the numbers together, and all the variables

18.3x^2-(-5x+2)=0

We get rid of parentheses

18.3x^2+5x-2=0

a = 18.3; b = 5; c = -2;
Δ = b2-4ac
Δ = 52-4·18.3·(-2)
Δ = 171.4
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{-(5)-\sqrt{171.4}}{2*18.3}=\frac{-5-\sqrt{171.4}}{36.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{171.4}}{2*18.3}=\frac{-5+\sqrt{171.4}}{36.6}
$