6x^2=-17x(-10)

Solution for 6x^2=-17x(-10) equation:

6x^2=-17x(-10)

We move all terms to the left:

6x^2-(-17x(-10))=0


We calculate terms in parentheses: -(-17x(-10)), so:

-17x(-10)

We multiply parentheses

170x

Back to the equation:

-(170x)


a = 6; b = -170; c = 0;
Δ = b2-4ac
Δ = -1702-4·6·0
Δ = 28900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28900}=170$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-170)-170}{2*6}=\frac{0}{12}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-170)+170}{2*6}=\frac{340}{12}
=28+1/3
$