5x*9x/4=180

Solution for 5x*9x/4=180 equation:

5x*9x/4=180

We move all terms to the left:

5x*9x/4-(180)=0

We multiply all the terms by the denominator


5x*9x-180*4=0

We add all the numbers together, and all the variables

5x*9x-720=0

Wy multiply elements

45x^2-720=0

a = 45; b = 0; c = -720;
Δ = b2-4ac
Δ = 02-4·45·(-720)
Δ = 129600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{129600}=360$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-360}{2*45}=\frac{-360}{90}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+360}{2*45}=\frac{360}{90}
=4
$