40x2=126.75

Solution for 40x2=126.75 equation:

40x^2=126.75

We move all terms to the left:

40x^2-(126.75)=0

We add all the numbers together, and all the variables

40x^2-126.75=0

a = 40; b = 0; c = -126.75;
Δ = b2-4ac
Δ = 02-4·40·(-126.75)
Δ = 20280
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:

$\sqrt{\Delta}=\sqrt{20280}=\sqrt{676*30}=\sqrt{676}*\sqrt{30}=26\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-26\sqrt{30}}{2*40}=\frac{0-26\sqrt{30}}{80}
=-\frac{26\sqrt{30}}{80}
=-\frac{13\sqrt{30}}{40}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+26\sqrt{30}}{2*40}=\frac{0+26\sqrt{30}}{80}
=\frac{26\sqrt{30}}{80}
=\frac{13\sqrt{30}}{40}
$