8x^2+10x*3=0

Solution for 8x^2+10x*3=0 equation:

8x^2+10x*3=0

Wy multiply elements

8x^2+30x=0

a = 8; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·8·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*8}=\frac{-60}{16}
=-3+3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*8}=\frac{0}{16}
=0
$