87-96x=30x-16*x^2

Solution for 87-96x=30x-16*x^2 equation:

87-96x=30x-16x^2

We move all terms to the left:

87-96x-(30x-16x^2)=0

We get rid of parentheses

16x^2-30x-96x+87=0

We add all the numbers together, and all the variables

16x^2-126x+87=0

a = 16; b = -126; c = +87;
Δ = b2-4ac
Δ = -1262-4·16·87
Δ = 10308
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:

$\sqrt{\Delta}=\sqrt{10308}=\sqrt{4*2577}=\sqrt{4}*\sqrt{2577}=2\sqrt{2577}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-126)-2\sqrt{2577}}{2*16}=\frac{126-2\sqrt{2577}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-126)+2\sqrt{2577}}{2*16}=\frac{126+2\sqrt{2577}}{32}
$