x*4x/2=450

Solution for x*4x/2=450 equation:

x*4x/2=450

We move all terms to the left:

x*4x/2-(450)=0

We multiply all the terms by the denominator


x*4x-450*2=0

We add all the numbers together, and all the variables

x*4x-900=0

Wy multiply elements

4x^2-900=0

a = 4; b = 0; c = -900;
Δ = b2-4ac
Δ = 02-4·4·(-900)
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*4}=\frac{-120}{8}
=-15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*4}=\frac{120}{8}
=15
$