3x-(35/12)x=0

Solution for 3x-(35/12)x=0 equation:

3x-(35/12)x=0


Domain of the equation: 12)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

3x-(+35/12)x=0

We multiply parentheses

-35x^2+3x=0

a = -35; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-35)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*-35}=\frac{-6}{-70}
=3/35
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-35}=\frac{0}{-70}
=0
$