16x-2=15x2

Solution for 16x-2=15x2 equation:

16x-2=15x^2

We move all terms to the left:

16x-2-(15x^2)=0

determiningTheFunctionDomain
-15x^2+16x-2=0

a = -15; b = 16; c = -2;
Δ = b2-4ac
Δ = 162-4·(-15)·(-2)
Δ = 136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{136}=\sqrt{4*34}=\sqrt{4}*\sqrt{34}=2\sqrt{34}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-2\sqrt{34}}{2*-15}=\frac{-16-2\sqrt{34}}{-30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+2\sqrt{34}}{2*-15}=\frac{-16+2\sqrt{34}}{-30}
$