(168x2)/100=3.36

Solution for (168x2)/100=3.36 equation:

(168x^2)/100=3.36

We move all terms to the left:

(168x^2)/100-(3.36)=0

We add all the numbers together, and all the variables

168x^2/100-3.36=0

We multiply all the terms by the denominator


168x^2-(3.36)*100=0

We add all the numbers together, and all the variables

168x^2-336=0

a = 168; b = 0; c = -336;
Δ = b2-4ac
Δ = 02-4·168·(-336)
Δ = 225792
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{225792}=\sqrt{112896*2}=\sqrt{112896}*\sqrt{2}=336\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-336\sqrt{2}}{2*168}=\frac{0-336\sqrt{2}}{336}
=-\frac{336\sqrt{2}}{336}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+336\sqrt{2}}{2*168}=\frac{0+336\sqrt{2}}{336}
=\frac{336\sqrt{2}}{336}
=\sqrt{2}
$