3x=2x2-10

Solution for 3x=2x2-10 equation:

3x=2x^2-10

We move all terms to the left:

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

We get rid of parentheses

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

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