2x^2=10-16x

Solution for 2x^2=10-16x equation:

2x^2=10-16x

We move all terms to the left:

2x^2-(10-16x)=0

We add all the numbers together, and all the variables

2x^2-(-16x+10)=0

We get rid of parentheses

2x^2+16x-10=0

a = 2; b = 16; c = -10;
Δ = b2-4ac
Δ = 162-4·2·(-10)
Δ = 336
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:

$\sqrt{\Delta}=\sqrt{336}=\sqrt{16*21}=\sqrt{16}*\sqrt{21}=4\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-4\sqrt{21}}{2*2}=\frac{-16-4\sqrt{21}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+4\sqrt{21}}{2*2}=\frac{-16+4\sqrt{21}}{4}
$