5.75=-0.25(x-0)(x-10)

Solution for 5.75=-0.25(x-0)(x-10) equation:

5.75=-0.25(x-0)(x-10)

We move all terms to the left:

5.75-(-0.25(x-0)(x-10))=0

We add all the numbers together, and all the variables

-(-0.25(+x)(x-10))+5.75=0

We multiply parentheses ..

-(-0.25(+x^2-10x))+5.75=0


We calculate terms in parentheses: -(-0.25(+x^2-10x)), so:

-0.25(+x^2-10x)

We multiply parentheses

-0.25x^2+2.5x

Back to the equation:

-(-0.25x^2+2.5x)


We get rid of parentheses

0.25x^2-2.5x+5.75=0

a = 0.25; b = -2.5; c = +5.75;
Δ = b2-4ac
Δ = -2.52-4·0.25·5.75
Δ = 0.5
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{-(-2.5)-\sqrt{0.5}}{2*0.25}=\frac{2.5-\sqrt{0.5}}{0.5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.5)+\sqrt{0.5}}{2*0.25}=\frac{2.5+\sqrt{0.5}}{0.5}
$