2=3x+10x2

Solution for 2=3x+10x2 equation:

2=3x+10x^2

We move all terms to the left:

2-(3x+10x^2)=0

We get rid of parentheses

-10x^2-3x+2=0

a = -10; b = -3; c = +2;
Δ = b2-4ac
Δ = -32-4·(-10)·2
Δ = 89
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{89}}{2*-10}=\frac{3-\sqrt{89}}{-20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{89}}{2*-10}=\frac{3+\sqrt{89}}{-20}
$