1675=x(3x-8)

Solution for 1675=x(3x-8) equation:

1675=x(3x-8)

We move all terms to the left:

1675-(x(3x-8))=0


We calculate terms in parentheses: -(x(3x-8)), so:

x(3x-8)

We multiply parentheses

3x^2-8x

Back to the equation:

-(3x^2-8x)


We get rid of parentheses

-3x^2+8x+1675=0

a = -3; b = 8; c = +1675;
Δ = b2-4ac
Δ = 82-4·(-3)·1675
Δ = 20164
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20164}=142$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-142}{2*-3}=\frac{-150}{-6}
=+25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+142}{2*-3}=\frac{134}{-6}
=-22+1/3
$