-6.23=(0.28x-9.8)x

Solution for -6.23=(0.28x-9.8)x equation:

-6.23=(0.28x-9.8)x

We move all terms to the left:

-6.23-((0.28x-9.8)x)=0


We calculate terms in parentheses: -((0.28x-9.8)x), so:

(0.28x-9.8)x

We multiply parentheses

0x^2-9.8x

We add all the numbers together, and all the variables

x^2-9.8x

Back to the equation:

-(x^2-9.8x)


We get rid of parentheses

-x^2+9.8x-6.23=0

We add all the numbers together, and all the variables

-1x^2+9.8x-6.23=0

a = -1; b = 9.8; c = -6.23;
Δ = b2-4ac
Δ = 9.82-4·(-1)·(-6.23)
Δ = 71.12
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{-(9.8)-\sqrt{71.12}}{2*-1}=\frac{-9.8-\sqrt{71.12}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9.8)+\sqrt{71.12}}{2*-1}=\frac{-9.8+\sqrt{71.12}}{-2}
$