46=46.4.9x^2

Solution for 46=46.4.9x^2 equation:

46=46.4.9x^2

We move all terms to the left:

46-(46.4.9x^2)=0

We get rid of parentheses

-46.4.9x^2+46=0

We add all the numbers together, and all the variables

-41.76x^2+46=0

a = -41.76; b = 0; c = +46;
Δ = b2-4ac
Δ = 02-4·(-41.76)·46
Δ = 7683.84
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{7683.84}}{2*-41.76}=\frac{0-\sqrt{7683.84}}{-83.52}
=-\frac{\sqrt{}}{-83.52}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{7683.84}}{2*-41.76}=\frac{0+\sqrt{7683.84}}{-83.52}
=\frac{\sqrt{}}{-83.52}
$