8x+1.5X(2)=25

Solution for 8x+1.5X(2)=25 equation:

8x+1.5x(2)=25

We move all terms to the left:

8x+1.5x(2)-(25)=0

We add all the numbers together, and all the variables

1.5x^2+8x-25=0

a = 1.5; b = 8; c = -25;
Δ = b2-4ac
Δ = 82-4·1.5·(-25)
Δ = 214
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-\sqrt{214}}{2*1.5}=\frac{-8-\sqrt{214}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+\sqrt{214}}{2*1.5}=\frac{-8+\sqrt{214}}{3}
$