(5/10)x=1.5

Solution for (5/10)x=1.5 equation:

(5/10)x=1.5

We move all terms to the left:

(5/10)x-(1.5)=0


Domain of the equation: 10)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+5/10)x-(1.5)=0

We add all the numbers together, and all the variables

(+5/10)x-1.5=0

We multiply parentheses

5x^2-1.5=0

a = 5; b = 0; c = -1.5;
Δ = b2-4ac
Δ = 02-4·5·(-1.5)
Δ = 30
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{-(0)-\sqrt{30}}{2*5}=\frac{0-\sqrt{30}}{10}
=-\frac{\sqrt{}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{30}}{2*5}=\frac{0+\sqrt{30}}{10}
=\frac{\sqrt{}}{10}
$