2/3s+150=s

Solution for 2/3s+150=s equation:

2/3s+150=s

We move all terms to the left:

2/3s+150-(s)=0


Domain of the equation: 3s!=0

s!=0/3

s!=0

s∈R


We add all the numbers together, and all the variables

-1s+2/3s+150=0

We multiply all the terms by the denominator


-1s*3s+150*3s+2=0

Wy multiply elements

-3s^2+450s+2=0

a = -3; b = 450; c = +2;
Δ = b2-4ac
Δ = 4502-4·(-3)·2
Δ = 202524
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{202524}=\sqrt{4*50631}=\sqrt{4}*\sqrt{50631}=2\sqrt{50631}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(450)-2\sqrt{50631}}{2*-3}=\frac{-450-2\sqrt{50631}}{-6}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(450)+2\sqrt{50631}}{2*-3}=\frac{-450+2\sqrt{50631}}{-6}
$