10x+4=6x2

Solution for 10x+4=6x2 equation:

10x+4=6x^2

We move all terms to the left:

10x+4-(6x^2)=0

determiningTheFunctionDomain
-6x^2+10x+4=0

a = -6; b = 10; c = +4;
Δ = b2-4ac
Δ = 102-4·(-6)·4
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-14}{2*-6}=\frac{-24}{-12}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+14}{2*-6}=\frac{4}{-12}
=-1/3
$