(1.5x)(8x)-112=0

Solution for (1.5x)(8x)-112=0 equation:

(1.5x)(8x)-112=0

We add all the numbers together, and all the variables

(+1.5x)8x-112=0

We multiply parentheses

8x^2-112=0

a = 8; b = 0; c = -112;
Δ = b2-4ac
Δ = 02-4·8·(-112)
Δ = 3584
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:

$\sqrt{\Delta}=\sqrt{3584}=\sqrt{256*14}=\sqrt{256}*\sqrt{14}=16\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{14}}{2*8}=\frac{0-16\sqrt{14}}{16}
=-\frac{16\sqrt{14}}{16}
=-\sqrt{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{14}}{2*8}=\frac{0+16\sqrt{14}}{16}
=\frac{16\sqrt{14}}{16}
=\sqrt{14}
$