-3w=-(9/8)

Solution for -3w=-(9/8) equation:

-3w=-(9/8)

We move all terms to the left:

-3w-(-(9/8))=0

We add all the numbers together, and all the variables

-3w-(-(+9/8))=0

We multiply all the terms by the denominator


-3w*8))-(-(+9=0

Wy multiply elements

-24w^2+9=0

a = -24; b = 0; c = +9;
Δ = b2-4ac
Δ = 02-4·(-24)·9
Δ = 864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{864}=\sqrt{144*6}=\sqrt{144}*\sqrt{6}=12\sqrt{6}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{6}}{2*-24}=\frac{0-12\sqrt{6}}{-48}
=-\frac{12\sqrt{6}}{-48}
=-\frac{\sqrt{6}}{-4}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{6}}{2*-24}=\frac{0+12\sqrt{6}}{-48}
=\frac{12\sqrt{6}}{-48}
=\frac{\sqrt{6}}{-4}
$