3x^2/15x+18=0

Solution for 3x^2/15x+18=0 equation:

3x^2/15x+18=0


Domain of the equation: 15x!=0

x!=0/15

x!=0

x∈R


We multiply all the terms by the denominator


3x^2+18*15x=0

Wy multiply elements

3x^2+270x=0

a = 3; b = 270; c = 0;
Δ = b2-4ac
Δ = 2702-4·3·0
Δ = 72900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{72900}=270$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(270)-270}{2*3}=\frac{-540}{6}
=-90
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(270)+270}{2*3}=\frac{0}{6}
=0
$