-1.5x=6(x2.19)

Solution for -1.5x=6(x2.19) equation:

-1.5x=6(x2.19)

We move all terms to the left:

-1.5x-(6(x2.19))=0

We add all the numbers together, and all the variables

-1.5x-(6(+x2.19))=0


We calculate terms in parentheses: -(6(+x2.19)), so:

6(+x2.19)

We multiply parentheses

6x^2

Back to the equation:

-(6x^2)


determiningTheFunctionDomain
-6x^2-1.5x=0

a = -6; b = -1.5; c = 0;
Δ = b2-4ac
Δ = -1.52-4·(-6)·0
Δ = 2.25
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{-(-1.5)-\sqrt{2.25}}{2*-6}=\frac{1.5-\sqrt{2.25}}{-12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.5)+\sqrt{2.25}}{2*-6}=\frac{1.5+\sqrt{2.25}}{-12}
$