25=x(3.5x-8.33)

Solution for 25=x(3.5x-8.33) equation:

25=x(3.5x-8.33)

We move all terms to the left:

25-(x(3.5x-8.33))=0


We calculate terms in parentheses: -(x(3.5x-8.33)), so:

x(3.5x-8.33)

We multiply parentheses

3x^2-8.33x

Back to the equation:

-(3x^2-8.33x)


We get rid of parentheses

-3x^2+8.33x+25=0

a = -3; b = 8.33; c = +25;
Δ = b2-4ac
Δ = 8.332-4·(-3)·25
Δ = 369.3889
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{-(8.33)-\sqrt{369.3889}}{2*-3}=\frac{-8.33-\sqrt{369.3889}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8.33)+\sqrt{369.3889}}{2*-3}=\frac{-8.33+\sqrt{369.3889}}{-6}
$