5x+(3/2)x=950

Solution for 5x+(3/2)x=950 equation:

5x+(3/2)x=950

We move all terms to the left:

5x+(3/2)x-(950)=0


Domain of the equation: 2)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

5x+(+3/2)x-950=0

We multiply parentheses

3x^2+5x-950=0

a = 3; b = 5; c = -950;
Δ = b2-4ac
Δ = 52-4·3·(-950)
Δ = 11425
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:

$\sqrt{\Delta}=\sqrt{11425}=\sqrt{25*457}=\sqrt{25}*\sqrt{457}=5\sqrt{457}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5\sqrt{457}}{2*3}=\frac{-5-5\sqrt{457}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5\sqrt{457}}{2*3}=\frac{-5+5\sqrt{457}}{6}
$