10x+16x^2=84

Solution for 10x+16x^2=84 equation:

10x+16x^2=84

We move all terms to the left:

10x+16x^2-(84)=0

a = 16; b = 10; c = -84;
Δ = b2-4ac
Δ = 102-4·16·(-84)
Δ = 5476
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5476}=74$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-74}{2*16}=\frac{-84}{32}
=-2+5/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+74}{2*16}=\frac{64}{32}
=2
$